Deck 4: Ratio and Proportion

Question 1

The average price of a 30-second commercial during a popular sitcom last year was $424,500. Find the price per second.

A) $\frac { \$ 14,150 } { \text { second } }$
B) $\frac { \$ 14,150 } { 30 \text { seconds } }$
C) $\frac { \$ 424,500 } { \text { second } }$
D) $\frac { \$ 14,180 } { \text { second } }$
E) $\frac { \$ 410,350 } { \text { second } }$

Answer 1

$\frac { \$ 14,150 } { \text { second } }$

Question 2

Determine whether the proportion is true or false. $\frac { 35 } { 60 } = \frac { 28 } { 48 }$

Answer 2

True

Question 3

Write the following comparison as a ratio in simplest form using a fraction, a colon (:), and the word to. 33 feet to 9 feet

A) $\frac { 33 } { 9 }$ 33 : 9 33 to 9
B) $\frac { 11 } { 3 }$ 11 : 3 11 to 3
C) $\frac { 9 } { 33 }$ 9 : 33 9 to 33
D) $\frac { 15 } { 55 }$ 15 : 55 15 to 55
E) $\frac { 3 } { 11 }$ 3 : 11 3 to 11

Answer 3

$\frac { 11 } { 3 }$ 11 : 3 11 to 3

Question 4

Write the phrase as a unit rate. $24 earned in 3 hours

A) $\frac { 8 \text { hours } } { \text { dollar } }$
B) $\frac { 24 \text { dollars } } { 3 \text { hours } }$
C) $\frac { 8 \text { dollars } ^ { 2 } } { \text { hour } }$
D) $\frac { 1 \text { dollar } } { 8 \text { hours } }$
E) $\frac { 72 \text { dollars } } { \text { hour } }$

Question 5

Write the phrase as a unit rate. $440.70 for 226 pounds

A) $\frac{\$ 44070}{\text { pound }}$
B) $\frac { \$ 1.95 } { 226 \text { pounds } }$
C) $\frac { \$ 440.70 } { 226 \text { pounds } }$
D) $\frac{\$ 1.95}{\text { pound }}$
E) $\frac{\$ 226}{\text { pound }}$

Question 6

Write the phrase as a rate in simplest form. 291 inches in 15 minutes

A) $\frac{97 \text { inches }}{5 \text { minutes }}$

B) $\frac{291\text { inches }}{5 \text { minutes }}$

C) $\frac { 5 \text { minutes } } { 97 \text { inches } }$
D) $\frac{291 \text { inches }}{5 \text { minutes }}$
E) $\frac { 291 \text { minutes } } { 15 \text { inches } }$

Question 7

Land acreage with an original value of $44,000 increases in value to $55,000 in 7 years.
a) Find the increase in the value of the land.
b) What is the ratio of the increase in value to the original value of the land?

A) a) $11,000; b) $\frac { 4 } { 1 }$
B) a) $99,000; b) $\frac { 1 } { 4 }$
C) a) $11,000; b) $\frac { 1 } { 4 }$
D) a) $99,000; b) $\frac { 4 } { 1 }$
E) a) $11,000; b) $\frac { 1 } { 8 }$

Question 8

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 81 pounds to 18 pounds

A) $\frac { 81 } { 18 }$ 81 : 18 81 to 18
B) $\frac { 2 } { 9 }$ 2 : 9 2 to 9
C) $\frac { 18 } { 81 }$ 18 : 81 18 to 81
D) $\frac { 9 } { 2 }$ 9 : 2 9 to 2
E) $\frac { 9 } { 18 }$ 9 : 18 9 to 18

Question 9

Write the phrase as a unit rate. 518 miles on 14 gallons

A) $\frac{37 \text { gallons }}{\text { mile }}$

B) $\frac { 37 \text { miles } } { \text { gallon } }$
C) $\frac { 518 \text { miles } } { 14 \text { gallons } }$
D) $\frac { 518 \text { miles } } { \text { gallon } }$
E) $\frac { 37 \text { miles } } { 14 \text { gallons } }$

Question 10

Write the phrase as a unit rate. 589.44 feet in 12 seconds

A) $\frac { 589.44 \text { feet } } { \text { second } }$
B) $\frac { 49.12 \text { seconds } } { \text { foot } }$
C) $\frac { \text { \(49.12\) feet } } { \text { 12 seconds} }$
D) $\frac { \text { \(49.12\) feet } } { \text { seconds} }$

E) $\frac { 589.44 \text { feet } } { 12 \text { seconds } }$

Question 11

Calculate the dilution ratio of a solution of 9 milliliters of urine diluted with 891 milliliters of distilled water. Write the ratio in simplest form using a fraction.

A) $\frac { 1 } { 100 }$
B) $\frac { 1 } { 50 }$
C) $\frac { 3 } { 100 }$
D) $\frac { 1 } { 25 }$
E) $\frac { 1 } { 20 }$

Question 12

Write the phrase as a rate in simplest form. $102 for 6 pieces

A) $\frac { 6 \text { pieces } } { \$ 102 }$
B) $\frac { \$ 1 } { 17 \text { pieces } }$
C) $\frac { \$ 102 } { 2 \text { pieces } }$
D) $\frac { \$ 17 } { 1 \text { piece } }$
E) $\frac { \$ 102 } { 6 \text { pieces } }$

Question 13

The dosage of a certain antibiotic prescribed by a doctor is determined by the weight of the patient in kilograms. If a patient who weighs 50 kilograms is given a shot containing 150 milligrams of this antibiotic, find the dosage rate for this medication in milligrams per kilogram.

A) 10 milligrams/kilogram
B) 5 milligrams/kilogram
C) 3 milligrams/kilogram
D) 40 milligrams/kilogram
E) 62 milligrams/kilogram

Question 14

Write the phrase as a unit rate. 30 inches in 6 minutes

A) $\frac{30 \text { inches }}{ \text { minute }}$
B) $\frac { 5 \text { minutes } } { \text { inch } }$
C) $\frac { 5 \text { inches } } { \text { minute } }$
D) $\frac { 6 \text { minutes } } { \text { inch } }$
E) $5 \text { inches }$

Question 15

Calculate the dilution ratio of a solution of 100 microliters of serum diluted with 900 microliters of saline. Write the ratio in simplest form using a fraction.

A) $\frac { 1 } { 5 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 3 } { 11 }$
D) $\frac { 1 } { 10 }$
E) $\frac { 3 } { 10 }$

Question 16

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 12 dollars to 66 dollars

A) $\frac { 2 } { 11 }$ 2 : 11 2 to 11
B) $\frac { 11 } { 2 }$ 11 : 2 11 to 2
C) $\frac { 12 } { 66 }$ 12 : 66 12 to 66
D) $\frac { 2 } { 66 }$ 2 : 66 2 to 66
E) $\frac { 66 } { 12 }$ 66 : 12 66 to 12

Question 17

Write the phrase as a rate in simplest form. 1505 miles on 85 gallons

A) $\frac { 1505 \text { gallons } } { 85 \text { miles } }$
B) $\frac { 301 \text { miles } } { 17 \text { gallons } }$
C) $\frac { 301 \text { gallons } } { 17 \text { miles } }$
D) $\frac { 301 \text { miles } } { 85 \text { gallons } }$
E) $\frac { 1505 \text { miles } } { 85 \text { gallons } }$

Question 18

A doctor orders an IV of 870 milliliters of Ringer's lactate to be infused over 10 hours. Find the unit rate for the infusion.

A) 110 milliliters/hour
B) 90 milliliters/hour
C) 105 milliliters/hour
D) 80 milliliters/hour
E) 87 milliliters/hour

Question 19

Write the phrase as a unit rate. $9600 earned in 8 days

A) $\frac { \$ 9600 } { 8 \text { days } }$
B) $\frac { \$ 9600 } { \text { day } }$
C) $\frac { \$ 1200 } { 8 \text { days } }$
D) $\frac { \$ 1200 } { \text { day } }$
E) $\frac { \$ 9600 } { 2 }$

Question 20

The price of diesel fuel jumped from $2.70 to $3.51 in 1 year.
a) What is the increase in the price of diesel fuel?
b) What is the ratio of the increase in price to the original price?

A) a) $6.21; b) $\frac { 3 } { 10 }$
B) a) $0.81; b) $\frac { 3 } { 10 }$
C) a) $0.81; b) $\frac { 10 } { 3 }$
D) a) $6.21; b) $\frac { 10 } { 3 }$
E) a) $0.81; b) $\frac { 3 } { 20 }$

Question 21

Determine whether the proportion is true or false. $\frac { 20 \text { miles } } { 12 \text { minutes } } = \frac { 10 \text { miles } } { 6 \text { minutes } }$

Question 22

According to the National Sample Survey of Registered Nurses, approximately one in five American Registered Nurses is male. If there are a total of 300 nurses working at a local hospital, how many of them would you expect to be male?

A) 62 male nurses
B) 60 male nurses
C) 58 male nurses
D) 59 male nurses
E) 61 male nurses

Question 23

Using the data given below and a figure of 350 million for the number of Americans, determine the number of morbidly obese Americans.

A) 8,000,000 Americans
B) 6,000,000 Americans
C) 9,000,000 Americans
D) 7,000,000 Americans
E) 5,000,000 Americans

Question 24

Solve. Round to the nearest hundredth. $\frac { n } { 10 } = \frac { 11 } { 23 }$

A) 0.48
B) 25.30
C) 1.10
D) 4.78
E) 110.00

Question 25

Solve. $\frac { 12 } { n } = \frac { 60 } { 35 }$

A) 420
B) 3.5
C) 35
D) 7
E) 720

Question 26

For landscape maintenance, Gretchen Green uses 3 pounds of fertilizer for every 150 square feet of lawn. At this rate, how many pounds of fertilizer did she use on a lawn that measures 6750 square feet? Round to the nearest whole number.

A) 153 lb
B) 150 lb
C) 140 lb
D) 135 lb
E) 450 lb

Question 27

Determine whether the proportion is true or false. $\frac { 3 \text { miles } } { 12 \text { hours } } = \frac { 6 \text { miles } } { 19 \text { hours } }$

Question 28

Solve. $\frac { 6 } { 20 } = \frac { n } { 50 }$

A) 6
B) 1.5
C) 2
D) 15
E) 7.5

Question 29

Determine whether the proportion is true or false. $\frac { 1 } { 3 } = \frac { 4 } { 8 }$

Question 30

Solve. $\frac { 6 } { 42 } = \frac { 2 } { n }$

A) 3.5
B) 14
C) 126
D) 42
E) 84

Question 31

Solve. $\frac { n } { 25 } = \frac { 6 } { 10 }$

A) 2
B) 6
C) 15
D) 1.5
E) 7.5

Question 32

Solve. Round to the nearest hundredth. $\frac { 2.6 } { 6 } = \frac { n } { 29 }$

A) 0.54
B) 12.57
C) 0.43
D) 6.00
E) 0.09

Question 33

In many medical offices, a 10% bleach solution is used as a disinfectant for cleaning the exam rooms. If $\frac { 1 } { 2 }$ cup of bleach is mixed with $3 \frac { 1 } { 2 }$ cups of water, how much bleach should be mixed with 7 cups of water in order to make a larger volume of this bleach solution?

A) 3 cups
B) 1 cup
C) 5 cups
D) 2 cups
E) 4 cups

Question 34

Determine whether the proportion is true or false. $\frac { 12 \text { feet } } { 8 \text { cups } } = \frac { 9 \text { feet } } { 6 \text { cups } }$

Question 35

Solve. Round to the nearest hundredth. $\frac { 28 } { n } = \frac { 8 } { 9 }$

A) 8.00
B) 0.89
C) 3.11
D) 2.57
E) 31.50

Question 36

Determine whether the proportion is true or false. $\frac { 6 \text { minutes } } { 12 \text { cents } } = \frac { 5 \text { minutes } } { 10 \text { cents } }$

Question 37

A saline solution has a concentration ratio of 3.5 milligrams of salt in 100 milliliters of solution. How many milligrams of salt will be needed to produce 500 milliliters of a saline solution having this same concentration?

A) 19.5 milligrams
B) 15 milligrams
C) 17.5 milligrams
D) 19 milligrams
E) 16 milligrams

Question 38

Solve. Round to the nearest hundredth. $\frac { 3 } { 5 } = \frac { 7 } { n }$

A) 11.67
B) 2.14
C) 35.00
D) 0.21
E) 15.00

Question 39

Determine whether the proportion is true or false. $\frac { 11 \text { tiles } } { 3 \text { feet } } = \frac { 56 \text { tiles } } { 15 \text { feet } }$

Question 40

In his truck, Robert can drive 74.5 miles on 2 gallons of gas. Find the distance that Robert's truck can travel on 10 gallons of gas. Round to the nearest hundredth.

A) 74.77 miles
B) 14.90 miles
C) 372.50 miles
D) 378.50 miles
E) 149.00 miles

Question 41

The cost of a 130-ounce container of massage therapy gel is 66.65. Determine the cost per ounce. Round to the nearest cent.

A) $0.55
B) $0.49
C) $0.53
D) $0.47
E) $0.51

Question 42

Micah owns 240 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split?

A) 720
B) 480
C) 485
D) 120
E) 18

Question 43

A pharmacist suspends a mixture of cefaclor using 50 milliliters of fluid. Each dose of cefaclor is 160 milligrams per 2 milliliters. If the patient is told to take all of the medication in the bottle during the next week, find the total number of milligrams of cefaclor the patient will consume.

A) 4000 milligrams
B) 4050 milligrams
C) 4100 milligrams
D) 4200 milligrams
E) 4250 milligrams

Question 44

Fifty shares of a healthcare stock pay a dividend of 63.1. At the same rate, what is the dividend paid on 600 shares of the healthcare stock?

A) $782.2
B) $799.2
C) $757.2
D) $783.2
E) $793.2

Question 45

A newspaper survey showed that 2 out of every 5 eligible voters did vote in the town election. At this rate, how many people in a town of 450,000 eligible voters voted in the election?

A) 1,125,000
B) 270,000
C) 170,000
D) 180,000
E) 449,995

Question 46

One state's requirement for minimum staffing levels mandates a ratio of one nurse for every three patients in a pediatric unit. Under these guidelines, how many nurses are required to be on duty if there are 12 patients in the pediatric unit?

A) 5 nurses.
B) 1 nurses.
C) 6 nurses.
D) 4 nurses.
E) 3 nurses.

Question 47

Samantha can buy $10,000 of life insurance for $34.68 per month. At this rate, what is the monthly cost of $30,000 of life insurance?

A) $11.56
B) $104.04
C) $109.04
D) $865.05
E) $37.68

Question 48

The dosage of a certain medication is $\frac { 1 } { 6 }$ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

A) 0.545 ounce
B) 0.720 ounce
C) 0.695 ounce
D) 0.560 ounce
E) 0.670 ounce

Question 49

You need to prepare a saline solution with a concentration of 2.18 grams of salt in 250 milliliters of distilled water. How much solution can you produce with 4.5 grams of salt?

A) 516.055 milliliters
B) 496.055 milliliters
C) 526.055 milliliters
D) 521.055 milliliters
E) 501.055 milliliters

Question 50

There are 500 calories in $\frac { 1 } { 4 }$ cup of cake flour. How many calories are in $4$ $\frac { 1 } { 8 }$ cups of cake flour?

A) 8260 calories
B) 8250 calories
C) 8230 calories
D) 8270 calories
E) 8240 calories

Question 51

Write, as a fraction in simplest form, the ratio of 41650 miles of blood vessels in the human body to 85 miles of nerve cells.

A) $\frac { 41650 } { 17 }$
B) $\frac { 85 } { 17 }$
C) $\frac { 5 } { 2450 }$
D) $\frac { 17 } { 5 }$
E) $\frac { 2450 } { 5 }$

Question 52

The total nurse staffing hours per resident day at a local nursing home averaged 3.66 hours per resident day. If there are 60 residents in this nursing home, how many total nurse staffing hours are needed per resident day?

A) 157.6 nurse staffing hours
B) 339.6 nurse staffing hours
C) 219.6 nurse staffing hours
D) 279.6 nurse staffing hours
E) 159.6 nurse staffing hours

Question 53

A research scientist estimates that the human body contains 238 pounds of water for every 119 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 102 pounds.

A) 204 pounds
B) 203 pounds
C) 201 pounds
D) 206 pounds
E) 208 pounds

Question 54

A prescription-strength medication contains 250 milligrams of acetaminophen in each tablet. If a patient takes two tablets two times a day for three days, how many milligrams of acetaminophen has the patient ingested?

A) 3050 milligrams
B) 3000 milligrams
C) 3150 milligrams
D) 2950 milligrams
E) 3100 milligrams

Question 55

A doctor prescribe 400 milligrams of ibuprofen two times a day for a patient with arthritis. The strength of the liquid form of ibuprofen is 100 milligrams/2 milliliters of liquid. How many milliliters of liquid should be consumed by the patient for a single dose? How many milliliters will be consumed in a single day?

A) 10 milliliters/dose; 18 milliliters/day
B) 9 milliliters/dose; 17 milliliters/day
C) 8 milliliters/dose; 16 milliliters/day
D) 5 milliliters/dose; 13 milliliters/day
E) 4 milliliters/dose; 12 milliliters/day

Question 56

As a lab technician, you need to make an alcohol solution that has a dilution ratio of $\frac { 1 } { 80 }$ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

A) 258 milliliters
B) 248 milliliters
C) 263 milliliters
D) 253 milliliters
E) 233 milliliters

Question 57

A patient is advised to lose 20 pounds in order to reach a healthy weight. During the next month, the patient loses 1 $\frac { 1 } { 2 }$ pounds the first week, 2 $\frac { 3 } { 4 }$ pounds the second week, 3 pounds the third week, and 4 $\frac { 3 } { 4 }$ pounds the fourth week. How many more pounds does the patient need to lose in order to reach the goal of a 20-pound loss?

A) 8 pounds
B) 1 pounds
C) 2 pounds
D) 3 pounds
E) 4 pounds

Question 58

There are 104 calories in $\frac { 1 } { 3 }$ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

A) 312 calories
B) 314 calories
C) 304 calories
D) 308 calories
E) 317 calories

Question 59

A unit of blood contains 390 milliliters. If a unit of blood is infused over a 3-hour period, find the infusion rate in milliliters per hour.

A) 132 milliliters/hour
B) 127 milliliters/hour
C) 131 milliliters/hour
D) 130 milliliters/hour
E) 128 milliliters/hour

Question 60

If 25 milliliters of alcohol is mixed with 1250 milliliters of water, what is the dilution ratio, in simplest form, of this solution?

A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 10 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 2 } { 3 }$