Deck 6: Percent

Question 1

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-15 coins to 24 coins

Answer 1

$\frac{5}{8}$

Question 2

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-200 gallons in 40 hours

Answer 2

$\frac{5 \text { gallons }}{1 \text { hour }}$

Question 3

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
- $\$ 72$ for 144 minutes

Answer 3

$\frac{\$ 1}{2 \text { minutes }}$

Question 4

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-The small beaker holds 150 cubic inches. The large beaker holds 350 cubic inches. Find the ratio of cubic inches in the small beaker to cubic inches in the large beaker.

Question 5

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Compare in inches: 3 feet to 20 inches.

Question 6

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Compare in nickels: 20 dimes to 7 quarters.

Question 7

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Find the best buy on cereal. You have a coupon for $60 \phi$ off Brand A and a coupon for $35 \phi$ off Brand C.
16 ounces of Brand A for $\$ 2.19$
20 ounces of Brand B for $\$ 2.39$
12 ounces of Brand C for $\$ 1.89$

Question 8

Determine whether each proportion is true or false.

- $\frac{9}{15}=\frac{27}{45}$

Question 9

Determine whether each proportion is true or false.

- $\frac{1.6}{2.2}=\frac{6.4}{8.4}$

Question 10

Find the unknown number in each proportion.
- $\frac{x}{16}=\frac{45}{80}$

Question 11

Find the unknown number in each proportion.
- $\frac{9}{x}=\frac{15}{3}$

Question 12

Find the unknown number in each proportion.
- $\frac{1.6}{2.8}=\frac{3.6}{x}$

Question 13

Find the unknown number in each proportion.
- $\frac{9}{5 \frac{1}{2}}=\frac{x}{12}$

Question 14

Set up and solve a proportion for each application problem.
-A car travels 250 miles in 5 hours. How far can it travel in 7 hours?

Question 15

Set up and solve a proportion for each application problem.
-If 4 bottles of soda cost $\$ 3.72$ , how much will 7 bottles cost?

Question 16

Set up and solve a proportion for each application problem.
-5 out of 9 people prefer vanilla ice cream. If there are 630 people at a party, how many would want vanilla ice cream?

Question 17

Set up and solve a proportion for each application problem.
-If a 9-foot tree casts a shadow 6 feet long, how long will the shadow of a 5 -foot tree be?

Question 18

Set up and solve a proportion for each application problem.
-If 1 inch on a map represents 25 miles, how long would a 350 mile distance be on the map?

Question 19

Set up and solve a proportion for each application problem.
-Explain in your own words why a ratio is expressed without writing the units.

Question 20

Set up and solve a proportion for each application problem.
-Find the error in the following solution, and complete the solution correctly.
$$\begin{aligned}& \frac{6}{10}=\frac{x}{12} \\& 6 \cdot x=10 \cdot 12 \\& 6 \cdot x=120 \\& x=\frac{120}{6} \\& x=20\end{aligned}$$

Question 21

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-16 cats to 12 cats

Question 22

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-750 miles in 30 hours

Question 23

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
- $\$ 24$ for 144 minutes

Question 24

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-The bus seats 44 people. The van seats 12 people. Find the ratio of bus seats to van seats.

Question 25

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Compare in inches: 10 feet to 96 inches.

Question 26

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Compare in nickels: 15 dimes to 8 quarters.

Question 27

Write each rate or ratio as a fraction in lowest terms. Change to the same units when necessary.
-Find the best buy on syrup. You have a coupon for $75 \phi$ off Brand X and a coupon for $50 \phi$ off Brand Y.
24 ounces of Brand $\mathrm{X}$ for $\$ 6.29$
30 ounces of Brand $Y$ for $\$ 7.39$
16 ounces of Brand $\mathrm{Z}$ for $\$ 3.69$

Question 28

Determine whether each proportion is true or false.

- $\frac{7}{9}=\frac{18}{24}$

Question 29

Determine whether each proportion is true or false.

- $\frac{4.2}{7.7}=\frac{0.6}{1.1}$

Question 30

Find the unknown number in each proportion.
- $\frac{30}{35}=\frac{x}{14}$

Question 31

Find the unknown number in each proportion.
- $\frac{27}{x}=\frac{9}{7}$

Question 32

Find the unknown number in each proportion.
- $\frac{x}{7.5}=\frac{5.7}{4.5}$

Question 33

Find the unknown number in each proportion.
- $\frac{4 \frac{2}{3}}{7}=\frac{16}{x}$

Question 34

Set up and solve a proportion for each application problem.
-A truck can travel 325 miles on 25 gallons of gas. How far can it travel on 40 gallons of gas?

Question 35

Set up and solve a proportion for each application problem.
-A trailer rental costs $\$ 79.96$ for 4 days. How much would it cost for 9 days?

Question 36

Set up and solve a proportion for each application problem.
-6 out of 8 students take history classes. Out of 420 students, how many take history?

Question 37

Set up and solve a proportion for each application problem.
-If 1 inch on a blueprint represents 12 inches of actual length, what is the actual length of a door measuring $7 \frac{1}{2}$ inches on the blueprint?

Question 38

Set up and solve a proportion for each application problem.
-If a 15 -foot pole casts a 9 -foot shadow, what is the height of a pole that casts a 12 -foot shadow?

Question 39

Set up and solve a proportion for each application problem.
-What is the special name for a rate with a denominator of 1 ?

Question 40

Set up and solve a proportion for each application problem.
-Suppose that the ratio of female students to male students at a school is $\frac{2}{3}$ . Does this mean that $\frac{2}{3}$ of all the students are female? Explain.

Question 41

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-36 cars to 30 cars

Question 42

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
- $\$ 240$ for 8 hours

Question 43

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-17 gallons in 102 minutes

Question 44

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-The bus seats 42 people. The van seats 12 people. Find the ratio of bus seats to van seats.

Question 45

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Compare in feet: 7 yards to 9 feet.

Question 46

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Compare in nickels: 10 dimes to 11 quarters.

Question 47

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Find the best buy on ketchup. You have a coupon for $35 \phi$ off Brand P and a coupon for $55 \phi$ off Brand R.
10 ounces of Brand $\mathrm{P}$ for $\$ 1.49$
18 ounces of Brand Q for $\$ 1.99$
12 ounces of Brand $\mathrm{R}$ for $\$ 1.89$

Question 48

Determine whether each proportion is true or false.

- $\frac{28}{35}=\frac{12}{15}$

Question 49

Determine whether each proportion is true or false.

- $\frac{5.6}{9.6}=\frac{0.7}{1.2}$

Question 50

Find the unknown number in each proportion.
- $\frac{5}{6}=\frac{25}{x}$

Question 51

Find the unknown number in each proportion.
- $\frac{x}{18}=\frac{20}{24}$

Question 52

Find the unknown number in each proportion.
- $\frac{0.9}{x}=\frac{3.6}{6.4}$

Question 53

Find the unknown number in each proportion.
- $\frac{4 \frac{1}{2}}{36}=\frac{x}{9}$

Question 54

Set up and solve a proportion for each application problem.
-A car travels 300 miles in 5 hours. How far can it travel in 8 hours?

Question 55

Set up and solve a proportion for each application problem.
-If 5 containers of yogurt cost $\$ 1.85$ , how much will 12 containers cost?

Question 56

Set up and solve a proportion for each application problem.
-5 out of 8 students at a college are older than 25 years. If there are 1200 students at the college, how many are older than 25 years?

Question 57

Set up and solve a proportion for each application problem.
-If a 6-foot man casts a shadow 4 feet long, how long will the shadow of a 5 -foot man be?

Question 58

Set up and solve a proportion for each application problem.
-On a map, 1 inch represents 45 miles. How long will a distance of 360 miles be on the map?

Question 59

Set up and solve a proportion for each application problem.
-Define in your own words a unit rate.

Question 60

Set up and solve a proportion for each application problem.
-Find the error in the following solution, and complete the solution correctly.
$$\begin{aligned}& \frac{4}{x}=\frac{10}{15} \\& 15 \cdot x=10 \cdot 4 \\& 15 \cdot x=40 \\& x=\frac{40}{15} \\& x=2 \frac{2}{3}\end{aligned}$$

Question 61

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-68 rabbits to 85 rabbits

Question 62

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-600 miles in 25 hours

Question 63

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
- $\$ 36$ for 108 minutes

Question 64

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-The home team bleachers seat 1050 people. The visitor bleachers seat 420 people. Find the ratio of home team bleachers to visitor bleachers.

Question 65

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Compare in inches: 4 feet to 32 inches.

Question 66

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Compare in nickels: 9 dimes to 7 quarters.

Question 67

Write each rate or ratio as a fraction in lowest terms.
Change to the same units when necessary.
-Find the best buy on olive oil. You have a coupon for $75 \phi$ off Brand A and a coupon for $30 \phi$ off Brand B.
64 ounces of Brand A for $\$ 11.49$
40 ounces of Brand B for $\$ 6.99$
24 ounces of Brand C for $\$ 5.99$

Question 68

Determine whether each proportion is true or false.

- $\frac{56}{70}=\frac{8}{10}$

Question 69

Determine whether each proportion is true or false.

- $\frac{9.6}{12.8}=\frac{1.6}{2.2}$

Question 70

Find the unknown number in each proportion.
- $\frac{11}{x}=\frac{110}{130}$

Question 71

Find the unknown number in each proportion.
- $\frac{27}{18}=\frac{x}{42}$

Question 72

Find the unknown number in each proportion.
- $\frac{9.6}{7.2}=\frac{8.4}{x}$

Question 73

Find the unknown number in each proportion.
- $\frac{x}{40}=\frac{4 \frac{4}{5}}{9}$

Question 74

Set up and solve a proportion for each application problem.
-A bus can travel 300 miles on 25 gallons of diesel. How far can it travel on 60 gallons of diesel?

Question 75

Set up and solve a proportion for each application problem.
-A car rental costs $\$ 74.97$ for 3 days. How much will it cost to rent the car for 7 days?

Question 76

Set up and solve a proportion for each application problem.
-3 out of 5 students take a programming class. Out of 900 students, how many take a programming class?

Question 77

Set up and solve a proportion for each application problem.
-If 1 inch on a blueprint represents 18 inches of actual length, what is the actual length of a wall that is $8 \frac{1}{2}$ inches on the blueprint?

Question 78

Set up and solve a proportion for each application problem.
-If a 12-foot pole casts an 8 -foot shadow, what is the height of a pole that casts a 6 -foot shadow?

Question 79

Set up and solve a proportion for each application problem.

-Can a proportion be used to solve the following problem? Explain your answer
John's car can run 168 miles on 6 gallons of gas. How far can Mary's car run on 8 gallons of gas?

Question 80

Set up and solve a proportion for each application problem.

-Is it possible for the ratio of sales tax to the cost of an item to be greater than 1 ? Explain your answer.