Deck 5: Ratio and Proportion

Question 1

Write the ratio in simplest form.

-3 to 8

A) $\frac{9}{24}$
B) $\frac{3}{8}$
C) $\frac{8}{3}$
D) $\frac{1}{8}$

Answer 1

$\frac{3}{8}$

Question 2

Write the ratio in simplest form.

-21 to 30

A) $\frac{21}{10}$
B) $\frac{7}{30}$
C) $\frac{7}{10}$
D) $\frac{21}{30}$

Answer 2

$\frac{7}{10}$

Question 3

Write the ratio in simplest form.

-54 cents to 114 cents

A) $\frac{9}{114}$
B) $\frac{19}{114}$
C) $\frac{9}{19}$
D) $\frac{54}{114}$

Answer 3

$\frac{9}{19}$

Question 4

Write the ratio in simplest form.

-6 miles to 8 miles

A) $\frac{6}{8}$
B) $\frac{3}{4}$
C) 2
D) $\frac{3}{8}$

Question 5

Write the ratio in simplest form.

- $\$ 20$ to $\$ 45$

A) $\frac{20}{9}$
B) $\frac{4}{9}$
C) $\frac{45}{20}$
D) $\frac{5}{5}$

Question 6

Write the ratio in simplest form.

-5.25 to 189

A) $\frac{1}{39}$
B) $\frac{1}{35}$
C) $\frac{1}{36}$
D) $\frac{1}{34}$

Question 7

Write the ratio in simplest form.

-84 yards to 84 yards

A) $\frac{2}{1}$
B) $\frac{1}{2}$
C) $\frac{1}{3}$
D) $\frac{1}{1}$

Question 8

Write the ratio in simplest form.

-45 to 30

A) $\frac{3}{4}$
B) $\frac{2}{3}$
C) $\frac{3}{2}$
D) $\frac{4}{3}$

Question 9

Write the ratio in simplest form.

-80 years to 48 years

A) $\frac{5}{4}$
B) $\frac{5}{3}$
C) $\frac{5}{2}$
D) $\frac{7}{3}$

Question 10

Write the ratio in simplest form.

-250 pounds to 50 pounds

A) $\frac{6}{1}$
B) $\frac{5}{1}$
C) $\frac{4}{6}$
D) $\frac{4}{1}$

Question 11

Write the rate in simplest form.

-441 miles in 49 minutes

A) $\frac{1 \text { mile }}{9 \text { minutes }}$
B) $\frac{9 \text { miles }}{1 \text { minute }}$
C) $\frac{441 \text { miles }}{49 \text { minutes }}$
D) $\frac{45 \text { miles }}{5 \text { minutes }}$

Question 12

Write the rate in simplest form.

-126 yards in 42 seconds

A) $\frac{3 \text { second }}{1 \text { yard }}$
B) $\frac{15 \text { yards }}{5 \text { seconds }}$
C) $\frac{3 \text { yards }}{1 \text { second }}$
D) $\frac{126 \text { yards }}{42 \text { seconds }}$

Question 13

Write the rate in simplest form.

-388 miles in 12 hours

A) $\frac{4 \text { miles }}{12 \text { hours }}$
B) $\frac{388 \text { miles }}{3 \text { hours }}$
C) $\frac{97 \text { miles }}{3 \text { hours }}$
D) $\frac{97 \text { miles }}{12 \text { hours }}$

Question 14

Write the rate in simplest form.

-8 cars for 48 people

A) $\frac{6 \text { cars }}{1 \text { person }}$
B) $\frac{8 \mathrm{cars}}{48 \text { people }}$
C) $\frac{8 \text { cars }}{6 \text { people }}$
D) $\frac{1 \mathrm{car}}{6 \text { people }}$

Question 15

Write the rate in simplest form.

-11 tests for 77 students

A) $\frac{7 \text { tests }}{11 \text { students }}$
B) $\frac{7 \text { tests }}{1 \text { student }}$
C) $\frac{11 \text { tests }}{77 \text { students }}$
D) $\frac{1 \text { test }}{7 \text { students }}$

Question 16

Write the rate in simplest form.

-104 printers for 40 computers

A) $\frac{8 \text { printers }}{40 \text { computers }}$
B) $\frac{40 \text { printers }}{104 \text { computers }}$
C) $\frac{13 \text { printers }}{5 \text { computers }}$
D) $\frac{104 \text { printers }}{8 \text { computers }}$

Question 17

Write the rate in simplest form.

-102 miles on 4 gallons

A) $\frac{102 \text { miles }}{2 \text { gallons }}$
B) $\frac{51 \text { miles }}{4 \text { gallons }}$
C) $\frac{51 \text { miles }}{2 \text { gallons }}$
D) $\frac{2 \text { miles }}{2 \text { gallons }}$

Question 18

Write the rate in simplest form.

-102 hours for 14 projects

A) $\frac{51 \text { hours }}{7 \text { projects }}$
B) $\frac{102 \text { hours }}{51 \text { projects }}$
C) $\frac{14 \text { hours }}{51 \text { projects }}$
D) $\frac{51 \text { hours }}{8 \text { projects }}$

Question 19

Write the rate in simplest form.

-164 employees for 24 companies

A) $\frac{24 \text { employees }}{4 \text { companies }}$
B) $\frac{164 \text { employees }}{6 \text { companies }}$
C) $\frac{41 \text { employees }}{24 \text { companies }}$
D) $\frac{41 \text { employees }}{6 \text { companies }}$

Question 20

Write the rate in simplest form.

-544 pounds per 24 packages

A) $\frac{544 \text { pounds }}{68 \text { packages }}$
B) $\frac{544 \text { pounds }}{3 \text { packages }}$
C) $\frac{68 \text { pounds }}{4 \text { packages }}$
D) $\frac{68 \text { pounds }}{3 \text { packages }}$

Question 21

Determine the unit rate.

-365 miles in 5 hours

A) $1825 \mathrm{mi}$
B) $73 \mathrm{mi} / \mathrm{hr}$
C) $370 \mathrm{mi} / \mathrm{hr}$
D) $73 \mathrm{mi}$

Question 22

Determine the unit rate.

-224 miles on 8 gallons of gas

A) $1792 \mathrm{mi}$
B) $28 \mathrm{mi} / \mathrm{gal}$
C) $0.036 \mathrm{mi} / \mathrm{gal}$
D) $232 \mathrm{gal}$

Question 23

Determine the unit rate.

-10 cents for 2 marbles

A) 20 cents/marble
B) 5 cents/marble
C) 0.2 cents/marble
D) 12 marbles

Question 24

Determine the unit rate.

-$2040 earned in 4 weeks

A) $\$ 408.00 /$ week
B) $\$ 510 /$ week
C) $\$ 0.002 /$ week
D) $\$ 255.00 /$ week

Question 25

Determine the unit rate.

-2296 cars in 820 households

A) 1476 cars/household
B) 3116 cars/household
C) 2.8 cars/household
D) $0.357 \mathrm{car} /$ household

Question 26

Determine the unit rate.

-363 people in 30 buses

A) 12.1 people/bus
B) 121 people/bus
C) 0.083 person/bus
D) 333 people/bus

Question 27

Determine the unit rate.

-6664 boxes filled in 0.8 hour

A) 7404 boxes $/ \mathrm{hr}$
B) 8330 boxes $/ \mathrm{hr}$
C) 5331 boxes $/ \mathrm{hr}$
D) 6665 boxes $/ \mathrm{hr}$

Question 28

Determine the unit rate.

-4144 cartons filled in 0.8 hour

A) 3315 cartons $/ \mathrm{hr}$
B) 4145 cartons $/ \mathrm{hr}$
C) 4604 cartons/hr
D) 5180 cartons $/ \mathrm{hr}$

Question 29

Determine the unit rate.

-A hike of 18.8 kilometers in 2 days

A) $18.8 \mathrm{~km} /$ day
B) 9.4 days $/ \mathrm{km}$
C) $9.4 \mathrm{~km} / \mathrm{day}$
D) $2 \mathrm{~km} /$ day

Question 30

Determine the unit rate.

-A flight of 41 meters in 30 seconds. Round to the nearest hundredth.

A) $0.73 \mathrm{~m} / \mathrm{sec}$
B) $1230.0 \mathrm{~m} / \mathrm{sec}$
C) $1.37 \mathrm{~m} / \mathrm{sec}$
D) $7.32 \mathrm{~m} / \mathrm{sec}$

Question 31

Find the unit price.

-The trim for a costume costs $\$ 29.75$ for $8.5 \mathrm{yd}$ .

A) $\$ 3,205,770.88 / \mathrm{yd}$
B) $\$ 38.25 / \mathrm{yd}$
C) $\$ 21.25 / \mathrm{yd}$
D) $\$ 3.50 / y d$

Question 32

Find the unit price.

- $\$ 16$ for 4 tickets

A) $\$ 0.25 /$ ticket
B) $\$ 20 /$ ticket
C) $\$ 4 /$ ticket
D) $\$ 64 /$ ticket

Question 33

Find the unit price.

-A 60 -second daytime television commercial spot costs $\$ 4,800,000$ .

A) $\$ 8000 / \mathrm{sec}$
B) $\$ 40,000 / \mathrm{sec}$
C) $\$ 80,000 / \mathrm{sec}$
D) $\$ 120,000 / \mathrm{sec}$

Question 34

Find the unit price.

-6 days at a waterpark costs $\$ 912$ .

A) $\$ 177 /$ day
B) $162/day
C) $152/day
D) $\$ 137 /$ day

Question 35

Find the unit price.

-A $1 \frac{1}{2}$ -lb package of seedless grapes costs $\$ 3.81$ . Round to the nearest hundredth of a dollar.

A) $\$ 5.72 / \mathrm{lb}$
B) $\$ 2.54 / \mathrm{lb}$
C) $\$ 0.16 / \mathrm{lb}$
D) $\$ 1.91 / \mathrm{lb}$

Question 36

Find the unit price.

-A $2 \frac{1}{4}$ -lb package of chicken costs $\$ 4.44$ . Round to the nearest hundredth of a dollar.

A) $\$ 9.99 / \mathrm{lb}$
B) $\$ 0.12 / \mathrm{lb}$
C) $\$ 2.22 / 1 \mathrm{~b}$
D) $\$ 1.97 / \mathrm{lb}$

Question 37

Find the unit price.

-A 0.75 -lb package of salami costs $\$ 2.61$ . Round to the nearest cent.

A) $\$ 2.61 / \mathrm{lb}$
B) $\$ 4.57 / \mathrm{lb}$
C) $\$ 3.48 / \mathrm{lb}$
D) $\$ 1.96 / \mathrm{lb}$

Question 38

Find the unit price.

-An 8-oz bottle of hair spray costs $\$ 4.06$ . Find the unit price, rounding to the nearest cent.

A) $\$ 0.51 / \mathrm{oz}$
B) $\$ 0.32 / \mathrm{oz}$
C) $\$ 0.41 / \mathrm{oz}$
D) $\$ 0.05 / \mathrm{oz}$

Question 39

Find the unit price.

-A 6-pack of 4 -oz containers of yogurt costs $\$ 2.99$ . Find the unit price, rounding to the nearest cent.

A) $\$ 0.50 / \mathrm{oz}$
B) $\$ 0.75 / \mathrm{oz}$
C) $\$ 0.12 / \mathrm{oz}$
D) $\$ 0.19 / \mathrm{oz}$

Question 40

Determine which is the better buy.

-5 pencils for $\$ 0.35$ or 16 pencils at $\$ 1.28$

A) 5 pencils
B) 16 pencils

Question 41

Determine which is the better buy.

-6 pencils for $\$ 0.66$ or 11 pencils at $\$ 0.99$

A) 6 pencils
B) 11 pencils

Question 42

Determine which is the better buy.

-A package of 5 bars of soap for $\$ 2.55$ or a package of 8 bars of soap for $\$ 2.48$

A) 8 bars of soap
B) 5 bars of soap

Question 43

Determine which is the better buy.

-A package of 6 bars of soap for $\$ 2.22$ or a package of 9 bars of soap for $\$ 4.14$

A) A package of 9 bars of soap
B) A package of 6 bars of soap

Question 44

Determine which is the better buy.

-A 6-pack of computer disks for $\$ 5.04$ or a 12 -pack of computer disks for $\$ 11.16$

A) A 6-pack of computer disks
B) A 12-pack of computer disks

Question 45

Determine which is the better buy.

-A 7-pack of computer disks for $\$ 6.51$ or a 10 - pack of computer disks for $\$ 8.30$

A) A 7-pack of computer disks
B) A 10 -pack of computer disks

Question 46

Determine which is the better buy.

-12 ounces of juice for $\$ 1.25,16$ ounces of juice for $\$ 1.49$ , or 24 ounces of juice for $\$ 2.42$

A) 24 ounces of juice
B) 12 ounces of juice
C) 16 ounces of juice

Question 47

Determine which is the better buy.

-4 batteries for $\$ 3.52,10$ batteries for $\$ 8.55$ , or 25 batteries for $\$ 20.61$

A) 4 batteries
B) 10 batteries
C) 25 batteries

Question 48

Solve. Simplify if possible.

-In a three-point shooting contest, a basketball player attempted 20 shots and made 8 of them. What is the ratio of shots made to shots attempted?

A) $\frac{5}{3}$
B) $\frac{2}{5}$
C) $\frac{3}{5}$
D) $\frac{5}{2}$

Question 49

Solve. Simplify if possible.

-Of a family's $\$ 752$ weekly income, $\$ 75$ usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

A) $\frac{677}{75}$
B) $\frac{752}{75}$
C) $\frac{75}{677}$
D) $\frac{75}{752}$

Question 50

Solve. Simplify if possible.

-At an advertising agency that employs 204 people, 79 employees receive 3 weeks of paid vacation each year. What is the ratio of those who receive 3 weeks of paid vacation to the total number of employees?

A) $\frac{125}{204}$
B) $\frac{204}{79}$
C) $\frac{204}{125}$
D) $\frac{79}{204}$

Question 51

Solve. Simplify if possible.

-At an advertising agency that employs 272 people, 145 employees receive 3 weeks of paid vacation each year. Find the ratio of those who receive 3 weeks of paid vacation those whose paid vacation is not 3 weeks.

A) $\frac{127}{145}$
B) $\frac{272}{127}$
C) $\frac{145}{127}$
D) $\frac{127}{272}$

Question 52

Solve. Simplify if possible.

-A certain lake is 700 feet deep. A nearby lake is 800 feet deep. Write the ratio of the first lake's depth to the second lake's depth.

A) $\frac{350}{400}$
B) $\frac{70}{8}$
C) $\frac{700}{800}$
D) $\frac{7}{8}$

Question 53

Solve. Simplify if possible.

-Tuition at a certain college recently increased from $\$ 7000$ to $\$ 11,000$ . Find the ratio of the increase in price to the original price.

A) $\frac{7}{11}$
B) $\frac{7}{18}$
C) $\frac{4}{7}$
D) $\frac{4}{11}$

Question 54

Solve. Simplify if possible.

-Find the ratio of the length of the longest side to the length of the shortest side and simplify.

$\begin{aligned}& \mathrm{A}=0.9 \text { yard } \\& \mathrm{B}=6.3 \text { yards } \\& \mathrm{C}=0.9 \text { yard } \\& \mathrm{D}=6.3 \text { yards }\end{aligned}$

A) $\frac{7}{1}$
B) $\frac{1}{7}$
C) $\frac{14}{1}$
D) $\frac{2}{7}$

Question 55

Solve. Simplify if possible.

-Find the ratio of the length of the longest side to the length of the shortest side and simplify.

$\begin{aligned}& A=0.05 \text { yard } \\& B=0.04 \text { yard } \\& C=0.05 \text { yard } \\& D=0.04 \text { yard }\end{aligned}$

A) $\frac{5}{4}$
B) $\frac{5}{2}$
C) $\frac{4}{5}$
D) $\frac{8}{5}$

Question 56

Solve. Simplify if possible.

-The following table shows the breakdown of the number of patients in two hospital units at a local city hospital. Is the ratio of nurses to patients in the post-operative unit higher or lower than the ratio of nurses to patients in the neonatal intensive care unit (NICU)?

A) Lower
B) Higher

Question 57

Solve. Simplify if possible.

-The following bar graph deals with music groups that were popular in a certain country and the number of chart hits that they had in that country.

(i) Find the ratio of the number of chart hits for The Jax as compared to LPSynk. (ii) What is the ratio of the number of chart hits that FlyByNite had to that of Munchies?

A) (i) $\frac{11}{13}$ ; (ii) $\frac{7}{10}$
B) (i) $\frac{11}{7}$ ; (ii) $\frac{10}{13}$
C) (i) $\frac{7}{11}$ ; (ii) $\frac{13}{10}$
D) (i) $\frac{10}{11}$ ; (ii) $\frac{7}{13}$

Question 58

Provide an appropriate response.
-Stephen said that the ratio of his mortgage to the sales price of his house is 9 to 7. Is this reasonable? Explain your answer.

Question 59

Provide an appropriate response.

-Is the best buy (lowest cost per unit) always the best value? Give an example when this is not true and explain why.

Question 60

Provide an appropriate response.
-Give two ratios that are equivalent to the ratio 2 to 21. Explain how you found them.

Question 61

Provide an appropriate response.
-Give two ratios that are equivalent to the ratio 12 to 4 . Explain how you found them.

Question 62

Provide an appropriate response.
-A baseball team ended its season with a ratio of losses to wins of 2 to 9 . What is the ratio of wins to games played?

Question 63

Provide an appropriate response.
-A baseball team ended its season with a ratio of losses to wins of 4 to 9 . What is the ratio of games played to losses?

Question 64

Provide an appropriate response.
-Bob drives 300 miles in 5 hours. Explain the significance of the ratio of 300 to 5 . What units associated to this ratio?

Question 65

Provide an appropriate response.
-Bob drives 324 miles in 6 hours. Explain the significance of the ratio of 6 to 324. What units associated to this ratio?

Question 66

Indicate whether the statement is correct.

- $\frac{6}{100}=\frac{3}{50}$

Question 67

Indicate whether the statement is correct.

- $\frac{25}{30}=\frac{3}{5}$

Question 68

Indicate whether the statement is correct.

- $\frac{3}{8}=\frac{9}{21}$

Question 69

Indicate whether the statement is correct.

- $\frac{24}{18}=\frac{4}{3}$

Question 70

Indicate whether the statement is correct.

- $\frac{3}{100}=\frac{27}{90}$

Question 71

Indicate whether the statement is correct.

-5 is to 20 as 11 is to 44 .

Question 72

Indicate whether the statement is correct.

-8 is to 32 as 12 is to 46 .

Question 73

Indicate whether the statement is correct.

-18 is to 30 as 39 is to 65 .

Question 74

Indicate whether the statement is correct.

-35 is to 15 as 48 is to 112 .

Question 75

Indicate whether the statement is correct.

-2.5 is to 0.5 as 9.5 is to 1.9 .

Question 76

Solve.

- $\frac{x}{34}=\frac{9}{17}$

A) $4 \frac{1}{2}$
B) 36
C) $64 \frac{2}{9}$
D) 18

Question 77

Solve.

- $\frac{1}{2}=\frac{x}{15}$ (Write the answer as a mixed number.)

A) 30
B) $\frac{1}{30}$
C) $7 \frac{1}{2}$
D) 15

Question 78

Solve.

- $\frac{4}{9}=\frac{16}{x}$

A) 144
B) $\frac{4}{144}$
C) $7 \frac{1}{9}$
D) 36

Question 79

Solve.

- $\frac{4.7}{4}=\frac{x}{9}$ (Round to the nearest hundredth.)

A) 9.58
B) 3.43
C) 10.58
D) 0.13

Question 80

Solve.

- $\frac{21.1}{25.3}=\frac{139.26}{x}$

A) 766.535
B) 166.98
C) 6.338
D) 27.7