Question: For a social studies project, Savannah counted the number of classrooms in each school in the city. How many schools have at least 20 classrooms but fewer than 65 classrooms?

Answer: 6

Solution:
Count all the leaves in the rows with stems 2, 3, 4, and 5.

In the row with stem 6, count all the leaves less than 5.

You counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 schools have at least 20 classrooms but fewer than 65 classrooms.


Question: While looking through an almanac at the library, Belle noticed some data showing the population density of various states. In 2000, how many more people per square mile lived in Nevada than in Idaho?

Answer: 3

State | 1990 | 2000
South Dakota | 9 | 10
Idaho | 12 | 15
New Mexico | 12 | 15
Nevada | 10 | 18

State
South Dakota
Idaho
New Mexico
Nevada

Solution:
Find the 2000 column. Find the numbers in this column for Nevada and Idaho.

Nevada: 18
Idaho: 15

Now subtract:

18 − 15 = 3

In 2000, 3 more people per square mile lived in Nevada than in Idaho.


Question: Look at the following schedule. Which class ends at 3.20 P.M.?

Choices:
- Pottery class
- Interior Design class
- Architecture class
- Art History class

Answer: Architecture class

Class | Begin | End
Interior Design | 8:35 A.M. | 9:50 A.M.
Advanced Art | 10:05 A.M. | 11:20 A.M.
Art History | 11:25 A.M. | 12:25 P.M.
Photography | 12:30 P.M. | 1:30 P.M.
Architecture | 1:45 P.M. | 3:20 P.M.
Pottery | 3:30 P.M. | 4:35 P.M.

Interior Design
Advanced Art
Art History
Photography
Architecture
Pottery

Solution: Find 3:20 P. M. on the schedule. Architecture class ends at 3:20 P. M.


Question: Some friends played golf and compared their scores. What is the range of the numbers?

Answer: 15

Name | Score
Krysta | 87
Tim | 84
Luther | 81
Charlotte | 90
Jonathan | 89
Dan | 96
Isabella | 95

Krysta Tim Luther Charlotte Jonathan Dan Isabella

Solution:
Read the numbers from the table.

87, 84, 81, 90, 89, 96, 95

First, find the greatest number. The greatest number is 96.

Next, find the least number. The least number is 81.

Subtract the least number from the greatest number:

96 − 81 = 15

The range is 15.


Question: A pair of Franklin High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2015 and 2016?

Answer: 0

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{12 games - 12 games}{2016 - 2015}
 = \frac{12 games - 12 games}{1 year}
 = \frac{0 games}{1 year}
 = 0 games per year
The rate of change between 2015 and 2016 was 0 games per year.


Question: How much money does Jane need to buy a shiny red bead and a purple and red clay bead?

Answer: 0.10

square yellow bead | $0.08
shiny red bead | $0.06
brown cat's eye bead | $0.01
purple and red clay bead | $0.04

square yellow bead
shiny red bead
brown cat's eye bead
purple and red clay bead

Solution:
Add the price of a shiny red bead and the price of a purple and red clay bead:

$0.06 + $0.04 = $0.10

Jane needs $0.10.


Question: The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. How many lower elementary students voted for peanut butter sandwiches?

Answer: 6

Sandwich | Upper elementary students | Lower elementary students
Egg salad | 8 | 8
Cheese | 17 | 12
Peanut butter | 18 | 6

Solution:
First, find the row for peanut butter. Then find the number in the Lower elementary students column.

This number is 6. 6 lower elementary students voted for peanut butter sandwiches.


Question: While looking through an almanac at the library, Heather noticed some data showing the population density of various states. How many people per square mile lived in North Dakota in 2000?

Answer: 9

State | 1990 | 2000
Montana | 5 | 6
North Dakota | 9 | 9
Idaho | 12 | 15
South Dakota | 9 | 10

State
Montana
North Dakota
Idaho
South Dakota

Solution:
First, find the row for North Dakota. Then find the number in the 2000 column.

This number is 9. In 2000, North Dakota had 9 people per square mile.


Question: Danielle has $0.50. Does she have enough to buy a rubber duck and a plastic horse?

Choices:
- yes
- no

Answer: no

small teddy bear | $0.32
yellow toy car | $0.83
rubber duck | $0.39
tiny doll | $0.37
plastic horse | $0.23

small teddy bear
yellow toy car
rubber duck
tiny doll
plastic horse

Solution:
Add the price of a rubber duck and the price of a plastic horse:

$0.39 + $0.23 = $0.62

$0.62 is more than $0.50. Danielle does not have enough money.


Question: Carrie has $3.00. Does she have enough to buy a toothbrush and a bottle of mouthwash?

Choices:
- yes
- no

Answer: no

bottle of perfume | $9.16
bottle of hand lotion | $2.90
toothbrush | $1.66
lip balm | $1.29
bottle of mouthwash | $1.39
box of bandages | $3.02

bottle of perfume
bottle of hand lotion
toothbrush
lip balm
bottle of mouthwash
box of bandages

Solution:
Add the price of a toothbrush and the price of a bottle of mouthwash:

$1.66 + $1.39 = $3.05

$3.05 is more than $3.00. Carrie does not have enough money.


Question: Ava wants to buy 3.3 pounds of raspberry pancake mix. How much will she spend?

Answer: 3.30

raspberry pancake mix | $1/lb
whole wheat pancake mix | $1/lb
plain pancake mix | $3/lb
buttermilk pancake mix | $3/lb
chocolate chip pancake mix | $1/lb
blueberry pancake mix | $1/lb

raspberry pancake mix
whole wheat pancake mix
plain pancake mix
buttermilk pancake mix
chocolate chip pancake mix
blueberry pancake mix

Solution:
Find the cost of the raspberry pancake mix. Multiply the price per pound by the number of pounds.
$1 × 3.3 = $3.30
She will spend $3.30.


Question: Look at the following schedule. When does the bus depart from the shopping district?

Choices:
- 5:00 P.M.
- 1:40 P.M.
- 10:20 A.M.
- 9:20 A.M.

Answer: 5:00 P.M.

Location | Arrive | Depart
city hall | 8:55 A.M. | 9:20 A.M.
the aquarium | 9:25 A.M. | 10:20 A.M.
governor's mansion | 11:05 A.M. | 11:35 A.M.
downtown | 12:15 P.M. | 1:10 P.M.
the riverfront | 1:15 P.M. | 1:40 P.M.
university campus | 1:45 P.M. | 2:05 P.M.
skyscraper | 2:40 P.M. | 3:30 P.M.
the zoo | 4:00 P.M. | 4:30 P.M.
shopping district | 4:50 P.M. | 5:00 P.M.
old building | 5:35 P.M. | 5:45 P.M.

city hall
the aquarium
governor's mansion
downtown
the riverfront
university campus
skyscraper
the zoo
shopping district
old building

Solution:
Find the shopping district on the schedule. Find the departure time for the shopping district.

shopping district: 5:00 P. M.


Question: If Edwin buys 4 kilograms of chestnuts, 5 kilograms of peanuts, and 5 kilograms of macadamia nuts, how much will he spend?

Answer: 50.31

pine nuts | $5.43 per kilogram
Brazil nuts | $3.93 per kilogram
chestnuts | $5.14 per kilogram
macadamia nuts | $4.00 per kilogram
pistachios | $2.86 per kilogram
peanuts | $1.95 per kilogram

pine nuts
Brazil nuts
chestnuts
macadamia nuts
pistachios
peanuts

$5.43 per kilogram
$3.93 per kilogram
$5.14 per kilogram
$4.00 per kilogram
$2.86 per kilogram
$1.95 per kilogram

Solution:
Find the cost of the chestnuts. Multiply:

$5.14 × 4 = $20.56

Find the cost of the peanuts. Multiply:

$1.95 × 5 = $9.75

Find the cost of the macadamia nuts. Multiply:

$4 × 5 = $20

Now find the total cost by adding:

$20.56 + $9.75 + $20 = $50.31

He will spend $50.31.


Question: Wanda counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 42 pairs of shoes but fewer than 92 pairs of shoes?

Answer: 5

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 2.

Count all the leaves in the rows with stems 5, 6, 7, and 8.

In the row with stem 9, count all the leaves less than 2.

You counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 stores have at least 42 pairs of shoes but fewer than 92 pairs of shoes.


Question: Xavier has $1,416.00. Does he have enough to buy a Jamaican vacation package and a European vacation package?

Choices:
- yes
- no

Answer: yes

European vacation package | $514.00
Australian vacation package | $503.00
Hawaiian vacation package | $569.00
Caribbean vacation package | $576.00
Jamaican vacation package | $875.00

European vacation package
Australian vacation package
Hawaiian vacation package
Caribbean vacation package
Jamaican vacation package

Solution:
Add the price of a Jamaican vacation package and the price of a European vacation package:

$875.00 + $514.00 = $1,389.00

$1,389.00 is less than $1,416.00. Xavier does have enough money.


Question: A girl compared the ages of her cousins. What is the mode of the numbers?

Answer: 11

Name | Age (years)
Tanvi | 18
Ayana | 11
Emma | 8
Gabriel | 11
Isabelle | 11
Carter | 8
Rosa | 18

Tanvi Ayana Emma Gabriel Isabelle Carter Rosa

Solution:
Read the numbers from the table.

18, 11, 8, 11, 11, 8, 18

First, arrange the numbers from least to greatest:

8, 8, 11, 11, 11, 18, 18

Now count how many times each number appears.

8 appears 2 times.
11 appears 3 times.
18 appears 2 times.

The number that appears most often is 11.

The mode is 11.


Question: How much money does Billy need to buy 5 boxes of crayons?

Answer: 11.20

box of crayons | $2.24
silver glitter pen | $2.88
box of colored pencils | $1.25
rubber stamp | $1.51
box of paper clips | $1.47

box of crayons
silver glitter pen
box of colored pencils
rubber stamp
box of paper clips

Solution:
Find the total cost of 5 boxes of crayons by multiplying 5 times the price of a box of crayons.

$2.24 × 5 = $11.20

Billy needs $11.20.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: nonlinear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{9 - 5}{7 - 6}
 = \frac{4}{1}
 = 4
Now pick any other two rows and calculate the rate of change between them.
Call the values in the second row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{15 - 9}{8 - 7}
 = \frac{6}{1}
 = 6
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.


Question: How much money does Ezra need to buy 9 elastic bands?

Answer: 3.33

elastic band | $0.37
ball of twine | $0.63
small metal hook | $0.98
red thumbtack | $0.15
spool of gold wire | $0.34
four-inch nail | $0.24

elastic band
ball of twine
small metal hook
red thumbtack
spool of gold wire
four-inch nail

Solution:
Find the total cost of 9 elastic bands by multiplying 9 times the price of an elastic band.

$0.37 × 9 = $3.33

Ezra needs $3.33.


Question: A farmer counted the number of apples on each tree in his orchard. How many trees have at least 49 apples but fewer than 95 apples?

Answer: 8

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 9.

Count all the leaves in the rows with stems 5, 6, 7, and 8.

In the row with stem 9, count all the leaves less than 5.

You counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 trees have at least 49 apples but fewer than 95 apples.


Question: For a social studies project, Ava counted the number of classrooms in each school in the city. How many schools have at least 30 classrooms?

Answer: 7

Solution:
Count all the leaves in the rows with stems 3, 4, 5, and 6.

You counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 schools have at least 30 classrooms.


Question: Look at the table. Then answer the question. At a price of $840, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: shortage

Solution: At the price of $840, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{6 - 0}{17 - 16}
 = \frac{6}{1}
 = 6
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{12 - 0}{18 - 16}
 = \frac{12}{2}
 = 6
The two rates of change are the same.
If you checked the rate of change between rows 2 and 3, you would find that it is also 6.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: no

Solution:
Look at the x-values in the table.

The x-value 0 is paired with multiple y-values, so the relation is not a function.


Question: How much more does a baseball helmet cost than a baseball bat?

Answer: 9.26

baseball helmet | $24.12
scooter | $29.35
football | $13.40
baseball bat | $14.86

baseball helmet
scooter
football
baseball bat

Solution:
Subtract the price of a baseball bat from the price of a baseball helmet.

$24.12 - $14.86 = $9.26

A baseball helmet costs $9.26 more than a baseball bat.


Question: In science class, Brooke is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?

Choices:
- bromine mixture
- acetone mixture

Answer: bromine mixture

Mixture | Temperature (°C)
Bromine mixture | -4
Acetone mixture | 5

Solution:
A positive number means the temperature is above zero. A negative number means the temperature is below zero.
To find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.
Bromine mixture: |-4| = 4
Acetone mixture: |5| = 5
The temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.


Question: Gabby and her brother like to spot cars with license plates from different states. On a family vacation, they used a frequency chart to record the license plates they saw. How many more Massachusetts license plates than Maine license plates did Gabby and her brother see?

Answer: 17

State | Frequency
Connecticut | 17
Maine | 4
Massachusetts | 21
New Hampshire | 11
New York | 13
Vermont | 9

Connecticut
Maine
Massachusetts
New Hampshire
New York
Vermont

Solution:
The frequencies tell you how license plates from each state Gabby and her brother saw. Start by finding how many license plates were from Massachusetts or Maine.
Gabby and her brother saw 4 Maine license plates and 21 Massachusetts license plates. Subtract to find the difference.
21 − 4 = 17
Gabby and her brother saw 17 more Massachusetts license plates.


Question: Each bracelet has 10 diamonds. How many diamonds are on 3 bracelets?

Answer: 30

Number of bracelets | Number of diamonds
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 diamonds on 3 bracelets.


Question: How much money does Janelle need to buy a wrench, a garden hose, and a rake?

Answer: 50.89

watering can | $13.54
wrench | $11.05
rake | $15.99
lawn sprinkler | $23.48
shovel | $13.32
garden hose | $23.85

watering can
wrench
rake
lawn sprinkler
shovel
garden hose

Solution:
Find the total cost of a wrench, a garden hose, and a rake.

$11.05 + $23.85 + $15.99 = $50.89

Janelle needs $50.89.


Question: While compiling photos for an album, Andrew noted the number of photographs taken by each of his friends and family. How many people are there in all?

Answer: 74

Solution:
Add the frequencies for each row.

Add:

15 + 16 + 12 + 8 + 7 + 2 + 14 = 74

There are 74 people in all.


Question: A car dealership tracked the number of cars sold each month. What is the range of the numbers?

Answer: 11

Month | Number of cars
September | 71
October | 63
November | 72
December | 71
January | 74
February | 70
March | 71

September October November December January February March

Solution:
Read the numbers from the table.

71, 63, 72, 71, 74, 70, 71

First, find the greatest number. The greatest number is 74.

Next, find the least number. The least number is 63.

Subtract the least number from the greatest number:

74 − 63 = 11

The range is 11.


Question: Daniel paid attention to how many comic strips he read in the past 7 days. What is the mean of the numbers?

Answer: 4

Day | Number of comic strips
Saturday | 5
Sunday | 1
Monday | 8
Tuesday | 2
Wednesday | 3
Thursday | 7
Friday | 2

Saturday Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

5, 1, 8, 2, 3, 7, 2

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

5 + 1 + 8 + 2 + 3 + 7 + 2 = 28

Now divide the sum by the number of numbers:

28 ÷ 7 = 4

The mean is 4.


Question: Miles's classmates revealed how many science articles they read. What is the mean of the numbers?

Answer: 31

Name | Number of science articles
Miles | 25
Henry | 42
Jen | 30
Beth | 28
Camille | 30

Solution:
Read the numbers from the table.

25, 42, 30, 28, 30

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

25 + 42 + 30 + 28 + 30 = 155

Now divide the sum by the number of numbers:

155 ÷ 5 = 31

The mean is 31.


Question: Megan counted the number of peanuts in each bag of trail mix. What is the largest number of peanuts?

Answer: 58

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.

Now find the highest leaf in the last row. The highest leaf is 8.

The largest number of peanuts has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.

The largest number of peanuts is 58 peanuts.


Question: Lena has $0.13. How much money will Lena have left if she buys a shapes stencil and a green bouncy ball?

Answer: 0.01

blue plastic block | $0.06
colorful pinwheel | $0.08
green marble | $0.02
shapes stencil | $0.08
green bouncy ball | $0.04
wooden block | $0.03

blue plastic block
colorful pinwheel
green marble
shapes stencil
green bouncy ball
wooden block

Solution:
Find the total cost of a shapes stencil and a green bouncy ball.

$0.08 + $0.04 = $0.12

Now subtract the total cost from the starting amount.

$0.13 - $0.12 = $0.01

Lena will have $0.01 left.


Question: The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 20 points but fewer than 30 points?

Answer: 2

Solution:
Count all the leaves in the row with stem 2.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people scored at least 20 points but fewer than 30 points.


Question: The librarian at the public library counted the number of books on each shelf. How many shelves have at least 40 books but fewer than 80 books?

Answer: 3

Solution:
Count all the leaves in the rows with stems 4, 5, 6, and 7.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shelves have at least 40 books but fewer than 80 books.


Question: Liam found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 35 roller coasters but fewer than 43 roller coasters?

Answer: 3

Solution:
Find the row with stem 3. Count all the leaves greater than or equal to 5.

In the row with stem 4, count all the leaves less than 3.

You counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 amusement parks have at least 35 roller coasters but fewer than 43 roller coasters.


Question: Mrs. McBride told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2017 and 2018?

Answer: -1

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{7 rounds - 8 rounds}{2018 - 2017}
 = \frac{7 rounds - 8 rounds}{1 year}
 = \frac{-1 rounds}{1 year}
 = -1 rounds per year
The rate of change between 2017 and 2018 was - 1 rounds per year.


Question: Sharon has $567. Does she have enough to buy a night's stay at Crescent Motel and a night's stay at Grand Mountain Inn?

Choices:
- yes
- no

Answer: no

night's stay at Hotel Marie | $428
night's stay at Liberty Bed and Breakfast | $464
night's stay at Royal Canopy Resort | $224
night's stay at Crescent Motel | $156
night's stay at Grand Mountain Inn | $433

Solution:
Add the price of a night's stay at Crescent Motel and the price of a night's stay at Grand Mountain Inn:

$156 + $433 = $589

$589 is more than $567. Sharon does not have enough money.


Question: A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is pleased? Simplify any fractions.

Answer: 7/18

 | Displeased | Pleased
A Footlong shoe | 3 | 7
A Toes Knows shoe | 2 | 6

Solution:
Let A be the event "the customer purchased a Footlong shoe" and B be the event "the customer is pleased".
To find the probability that a customer purchased a Footlong shoe and is pleased, first identify the sample space and the event.
The outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the customer purchased a Footlong shoe and is pleased".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the customer purchased a Footlong shoe and is pleased", so look at the table to see how many customers purchased a Footlong shoe and are pleased.
The number of customers who purchased a Footlong shoe and are pleased is 7.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of customers.
3 + 2 + 7 + 6 = 18

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{7}{18}
The probability that a customer purchased a Footlong shoe and is pleased is \frac{7}{18}.


Question: Look at the following schedule. When does the bus depart from Main Street?

Choices:
- 9:55 A.M.
- 12:05 P.M.
- 10:20 A.M.
- 1:25 P.M.

Answer: 1:25 P.M.

Location | Arrive | Depart
baseball stadium | 9:00 A.M. | 9:10 A.M.
shopping mall | 9:50 A.M. | 9:55 A.M.
train station | 10:15 A.M. | 10:20 A.M.
boat docks | 11:10 A.M. | 11:20 A.M.
park | 11:50 A.M. | 12:05 P.M.
hotel | 12:40 P.M. | 12:55 P.M.
Main Street | 1:10 P.M. | 1:25 P.M.

baseball stadium
shopping mall
train station
boat docks
park
hotel
Main Street

Solution:
Find Main Street on the schedule. Find the departure time for Main Street.

Main Street: 1:25 P. M.


Question: Six of the sports teams from Belmont High School decided to raise funds to buy new sports equipment. What fraction of the funds were raised by the basketball team? Simplify your answer.

Answer: 92/513

Team | Funds raised ($)
Baseball | 760
Water polo | 530
Tennis | 960
Track | 970
Basketball | 920
Football | 990

Baseball
Water polo
Tennis
Track
Basketball
Football

Solution:
Find how much money was raised by the basketball.

920

Find how much money were raised in total.

760 + 530 + 960 + 970 + 920 + 990 = 5,130

Divide 920 by 5,130.

\frac{920}{5,130}

Reduce the fraction.

\frac{920}{5,130} → \frac{92}{513}

\frac{92}{513} of Find how much money was raised by the basketball.


Question: The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 60 plants but fewer than 70 plants?

Answer: 2

Solution:
Count all the leaves in the row with stem 6.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 gardens have at least 60 plants but fewer than 70 plants.


Question: Mitchell has $7.00. Does he have enough to buy a glass of lemonade and a spinach salad?

Choices:
- yes
- no

Answer: no

spinach salad | $5.75
slice of peach pie | $1.12
glass of lemonade | $1.38
piece of cornbread | $1.19

spinach salad
slice of peach pie
glass of lemonade
piece of cornbread

Solution:
Add the price of a glass of lemonade and the price of a spinach salad:

$1.38 + $5.75 = $7.13

$7.13 is more than $7.00. Mitchell does not have enough money.


Question: Sidney counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. What is the probability that a randomly selected box of cereal is mini size and contains one prize? Simplify any fractions.

Answer: 4/11

 | One prize | Two prizes
Mini size | 4 | 1
Regular size | 4 | 2

Solution:
Let A be the event "the box of cereal is mini size" and B be the event "the box of cereal contains one prize".
To find the probability that a box of cereal is mini size and contains one prize, first identify the sample space and the event.
The outcomes in the sample space are the different boxes of cereal. Each box of cereal is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the box of cereal is mini size and contains one prize".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the box of cereal is mini size and contains one prize", so look at the table to see how many boxes of cereal are mini size and contain one prize.
The number of boxes of cereal that are mini size and contain one prize is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of boxes of cereal.
4 + 4 + 1 + 2 = 11

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{4}{11}
The probability that a box of cereal is mini size and contains one prize is \frac{4}{11}.


Question: Look at the table. Then answer the question. At a price of $315, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $315, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: For a social studies project, Danny counted the number of classrooms in each school in the city. What is the smallest number of classrooms?

Answer: 58

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.

Now find the lowest leaf in the first row. The lowest leaf is 8.

The smallest number of classrooms has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.

The smallest number of classrooms is 58 classrooms.


Question: Nina bought 3/5 of a pound of raspberry applesauce. How much did she spend?

Answer: 3.60

blueberry applesauce | $4/pound
unsweetened applesauce | $2/pound
raspberry applesauce | $6/pound
strawberry applesauce | $6/pound

blueberry applesauce
unsweetened applesauce
raspberry applesauce
strawberry applesauce

Solution:
Find the cost of the raspberry applesauce. Multiply the price per pound by the number of pounds.
$6 × \frac{3}{5} = $6 × 0.6 = $3.60
She spent $3.60.


Question: The Rockport Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had at least 12 rotten tomatoes but less than 66 rotten tomatoes?

Answer: 4

Solution:
Find the row with stem 1. Count all the leaves greater than or equal to 2.

Count all the leaves in the rows with stems 2, 3, 4, and 5.

In the row with stem 6, count all the leaves less than 6.

You counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 barrels had at least 12 rotten tomatoes but less than 66 rotten tomatoes.


Question: Eve counted the number of desks in each classroom at her school. How many classrooms have at least 41 desks?

Answer: 3

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 1.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 classrooms have at least 41 desks.