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Prealgebra

Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price

Chapter 6

Ratio, Proportion, and Percent

Educators


Problem 1

Express each ratio as a fraction in simplest form.
4 goals in 10 attempts

Suzanne W.
Numerade Educator

Problem 2

Express each ratio as a fraction in simplest form.
15 dimes out of 24 coins

Katelyn C.
Numerade Educator

Problem 3

Express each ratio as a fraction in simplest form.
10 inches to 3 feet

Katelyn C.
Numerade Educator

Problem 4

Express each ratio as a fraction in simplest form.
5 feet to 5 yards

Katelyn C.
Numerade Educator

Problem 5

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
$\$ 183$ for 4 concert tickets

Katelyn C.
Numerade Educator

Problem 6

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
9 inches of snow in 12 hours

Katelyn C.
Numerade Educator

Problem 7

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
100 feet in 14.5 seconds

Katelyn C.
Numerade Educator

Problem 8

Express each rate as a unit rate. Round to the nearest tenth, if necessary.
254.1 miles on 10.5 gallons

Katelyn C.
Numerade Educator

Problem 9

Use the graph. It shows the number of feet Alicia and Jermaine ran in the race.
(GRAPH CANNOT COPY)
Express each person's speed as a unit rate.

Katelyn C.
Numerade Educator

Problem 10

Use the graph. It shows the number of feet Alicia and Jermaine ran in the race.
(GRAPH CANNOT COPY)
How long would it take Alicia and Jermaine each to run 1 mile (5280 feet)?

Katelyn C.
Numerade Educator

Problem 11

Convert each rate using dimensional analysis.
$$20 \mathrm{mi} / \mathrm{h}=\square{ft} / \mathrm{min}$$

Katelyn C.
Numerade Educator

Problem 12

Convert each rate using dimensional analysis.
$$16 \mathrm{cm} / \mathrm{s}=\square {m}/ \mathrm{h}$$

Katelyn C.
Numerade Educator

Problem 13

Express each ratio as a fraction in simplest form.
6 ladybugs out of 27 insects

Katelyn C.
Numerade Educator

Problem 14

Express each ratio as a fraction in simplest form.
14 girls to 35 boys

Suzanne W.
Numerade Educator

Problem 15

Express each ratio as a fraction in simplest form.
18 cups to 45 cups

Katelyn C.
Numerade Educator

Problem 16

Express each ratio as a fraction in simplest form.
12 roses out of 28 flowers

Suzanne W.
Numerade Educator

Problem 17

Express each ratio as a fraction in simplest form.
7 cups to 9 pints

Katelyn C.
Numerade Educator

Problem 18

Express each ratio as a fraction in simplest form.
9 pounds to 16 tons

Katelyn C.
Numerade Educator

Problem 19

Express each ratio as a fraction in simplest form.
11 gallons to 11 quarts

Katelyn C.
Numerade Educator

Problem 20

Express each ratio as a fraction in simplest form.
18 miles to 18 yards

Katelyn C.
Numerade Educator

Problem 21

Express each ratio as a fraction in simplest form.
$\$ 5$ for 4 cans of tuna

Katelyn C.
Numerade Educator

Problem 22

Express each ratio as a fraction in simplest form.
$\$ 0.99$ for 10 pencils

Katelyn C.
Numerade Educator

Problem 23

Express each ratio as a fraction in simplest form.
140 miles on 6 gallons

Katelyn C.
Numerade Educator

Problem 24

Express each ratio as a fraction in simplest form.
68 meters in 15 seconds

Katelyn C.
Numerade Educator

Problem 25

Express each ratio as a fraction in simplest form.
19 yards in 2.5 minutes

Katelyn C.
Numerade Educator

Problem 26

Express each ratio as a fraction in simplest form.
25 feet in 3.2 hours

Katelyn C.
Numerade Educator

Problem 27

Express each ratio as a fraction in simplest form.
236.7 miles in 4.5 days

Katelyn C.
Numerade Educator

Problem 28

Express each ratio as a fraction in simplest form.
331.5 pages in 8.5 weeks

Katelyn C.
Numerade Educator

Problem 29

Which costs more per issue, an 18 -issue subscription for $\$ 40.50$ or a 12 -issue subscription for $\$ 33.60 ?$ Explain.

Katelyn C.
Numerade Educator

Problem 30

Determine which is less expensive per can, a 6 -pack of soda for $\$ 2.20$ or a 12 -pack of soda for $\$ 4.25 .$ Explain.

Katelyn C.
Numerade Educator

Problem 31

Convert each rate using dimensional analysis
$$45 \mathrm{mi} / \mathrm{h}=\square \mathrm{ft} / \mathrm{s}$$

Katelyn C.
Numerade Educator

Problem 32

Convert each rate using dimensional analysis.
$$18 \mathrm{mi} / \mathrm{h}=\square \mathrm{ft} / \mathrm{s}$$

Katelyn C.
Numerade Educator

Problem 33

Convert each rate using dimensional analysis.
$$26 \mathrm{cm} / \mathrm{s}=\square \mathrm{m} / \mathrm{min}$$

Katelyn C.
Numerade Educator

Problem 34

Convert each rate using dimensional analysis.
$$32 \mathrm{cm} / \mathrm{s}=\square \mathrm{m} / \mathrm{min}$$

Katelyn C.
Numerade Educator

Problem 35

Convert each rate using dimensional analysis.
$$2.5 \mathrm{qt} / \mathrm{min}=\square \mathrm{gal} / \mathrm{h}$$

Katelyn C.
Numerade Educator

Problem 36

Convert each rate using dimensional analysis.
$$4.8 \mathrm{qt} / \mathrm{min}=\square \mathrm{gal} / \mathrm{h}$$

Katelyn C.
Numerade Educator

Problem 37

Convert each rate using dimensional analysis.

$$4 \mathrm{c} / \mathrm{min}=\square\mathrm{qt} / \mathrm{h}$$

Katelyn C.
Numerade Educator

Problem 38

Convert each rate using dimensional analysis.
$$7 \mathrm{c} / \mathrm{min}=\square{qt} / \mathrm{h}$$

Katelyn C.
Numerade Educator

Problem 39

Express the ratio of width to length as a fraction in simplest form.
(FIGURE CANNOT COPY)

Katelyn C.
Numerade Educator

Problem 40

Suppose the width and length are each increased by
2 centimeters. Will the ratio of the width to length be the same as the ratio of the width to length of the original rectangle? Explain.
(FIGURE CANNOT COPY)

Katelyn C.
Numerade Educator

Problem 41

Express each ratio or rate as a fraction in simplest form.
15 dollars out of 123 dollars

Katelyn C.
Numerade Educator

Problem 42

Express each ratio or rate as a fraction in simplest form.
17 rubies out of 118 gems

Katelyn C.
Numerade Educator

Problem 43

Express each ratio or rate as a fraction in simplest form.
155 apples to 75 oranges

Katelyn C.
Numerade Educator

Problem 44

Express each ratio or rate as a fraction in simplest form.
321 articles in 107 magazines

Katelyn C.
Numerade Educator

Problem 45

An airplane flew from Boston through Chicago to Denver. The distance from Boston to Chicago was 1015 miles, and the distance from Chicago to Denver was 1011 miles. The plane traveled for 3.5 hours and carried 285 passengers.
About how fast did the airplane travel?

Katelyn C.
Numerade Educator

Problem 46

An airplane flew from Boston through Chicago to Denver. The distance from Boston to Chicago was 1015 miles, and the distance from Chicago to Denver was 1011 miles. The plane traveled for 3.5 hours and carried 285 passengers.
Suppose it costs $\$ 5685$ per hour to operate the airplane. Find the cost per person per hour for the flight.

Katelyn C.
Numerade Educator

Problem 47

Population density is a unit rate that gives the number of people per square mile. Which state listed in the table has the greatest population density? Explain.
(TABLE CANNOT COPY)

Katelyn C.
Numerade Educator

Problem 48

Give an example of a unit rate used in a real-world situation.

Katelyn C.
Numerade Educator

Problem 49

Ishi bought a slice of apple pie from the cafeteria yesterday and today. The cafeteria workers cut the pies into fewer slices today than they did yesterday. Which of the following technique(s) might Ishi use to determine whether she received more, less, or the same amount of pie today than yesterday? Justify your selection(s). Then use the technique(s) to solve the problem.

Katelyn C.
Numerade Educator

Problem 50

A pitcher of lemonade has 3 parts of lemon juice to 4 parts of water. Describe two other pitchers of lemonade; one that is stronger in taste and another that is weaker (more watered-down) in taste.

Katelyn C.
Numerade Educator

Problem 51

Blake is comparing prices of several different brands of peanuts. Which statement is true?

$$\begin{array}{|l|c|c|}
\hline { Brand } & \text { Size (oz) } & \text { Price } \\
\hline \text { Barrel } & 10 & \$ 3.39 \\
\hline \text { Mr. Nut } & 14 & \$ 4.54 \\
\hline \text { Sandi's Snacks } & 18 & \$ 6.26 \\
\hline
\end{array}$$
A. Barrel is the most expensive per ounce.
B. Mr. Nut is the least expensive per ounce.
C. Barrel and Sandi's Snacks cost the
same per ounce.
D. Mr. Nut and Sandi's Snacks cost the
same per ounce.

Katelyn C.
Numerade Educator

Problem 52

Sal paid $\$ 2.79$ for a gallon of milk. Find the cost per quart of milk.
F. $\$ 0.55$
G. $\$ 0.70$
H. $\$ 0.93$
J. $\$1.40$

Katelyn C.
Numerade Educator

Problem 53

Pappy's Dry Goods sells 10 paper plates for $\$ 2.50 .$ Which company sells paper plates for the same price per plate?
A. Party Time Store: 15 plates for $\$ 3.75$
B. Good Times: 20 plates for $\$ 6$
C. Birthday, Inc: 25 plates for $\$ 7.50$
D. Fun For All: 30 plates for $\$ 10.25$

Katelyn C.
Numerade Educator

Problem 54

Jonelle's tips as a server are shown in the table. On Friday, her tips were $\$ 74 .$ Which measure of central tendency will change the most as a result? Explain.
$$\begin{array}{|l|c|}
\hline \text { DAY } & \text { True } \\
\hline \text { Monday } & \$ 36 \\
\hline \text { Tuesday } & \$ 32 \\
\hline \text { Wednesday } & \$ 40 \\
\hline \text { Thursday } & \$ 36 \\
\hline
\end{array}$$

Katelyn C.
Numerade Educator

Problem 55

Solve each equation. Check your solution.
$$y+\frac{3}{4}=\frac{2}{3}$$

Katelyn C.
Numerade Educator

Problem 56

Solve each equation. Check your solution.
$$-4.8=6 z$$

Katelyn C.
Numerade Educator

Problem 57

Solve each equation. Check your solution.
$$\frac{3}{8} w=5$$

Katelyn C.
Numerade Educator

Problem 58

Write each number in scientific notation.
$$52,000,000$$

Katelyn C.
Numerade Educator

Problem 59

Write each number in scientific notation.
$$42,240$$

Katelyn C.
Numerade Educator

Problem 60

Write each number in scientific notation.
$$0.038$$

Katelyn C.
Numerade Educator

Problem 61

Write each number in scientific notation.
$$0.00021$$

Katelyn C.
Numerade Educator

Problem 62

Solve each equation. Check your solution.
$$10 x=300$$

Katelyn C.
Numerade Educator

Problem 63

Solve each equation. Check your solution.
$$25 m=225$$

Katelyn C.
Numerade Educator

Problem 64

Solve each equation. Check your solution.
$$8 k=320$$

Katelyn C.
Numerade Educator

Problem 65

Solve each equation. Check your solution.
$$192=4 t$$

Katelyn C.
Numerade Educator

Problem 66

Solve each equation. Check your solution.
$$195=15 w$$

Katelyn C.
Numerade Educator