# Ratio and Proportion Worksheets

Ratio and Proportion Worksheets
• Page 1
1.
The table shows the results of a survey in which students were asked whether they worked part time.
a. What is the ratio of students with jobs to students without jobs?
b. What is the ratio of students without jobs to all students surveyed?

 a. 1 : 3, 1 : 4 b. 2 : 5, 3 : 5 c. 2 : 3, 3 : 5 d. 1 : 3, 2 : 5

#### Solution:

[Number of students with jobs] / [Number of students without jobs] = 40 / 60 = 2 / 3
[Use GCF 20 to simplify the ratio.]

The ratio of students with jobs to those without jobs is 2 : 3.

[Number of students without jobs] / [Number of students surveyed] = 60 / 100 = 3 / 5
[Use GCF 20 to simplify the ratio.]

The ratio of students without jobs to total students surveyed is 3 : 5.

2.
The 8th grade baseball team won 9 matches out of 27 matches. Find the ratio of wins to losses.
 a. 1 : 1 b. 1 : 2 c. 1 : 3 d. None of the above

#### Solution:

The number of matches won = 9

The number of matches lost = 27 - 9 = 18.

Ratio = 9 ÷ 918 ÷ 9 = 12
[Divide the numerator and denominator by the GCF, 9.]

The win-loss ratio = 1 : 2 .

3.
Using unit analysis, convert 4 minutes to seconds.
 a. 200 seconds b. 260 seconds c. 220 seconds d. 240 seconds

#### Solution:

60 seconds = 1 minute, so, 60 seconds1 minute is equal to 1.

4 minutes = 4 minutes × (60 seconds1 minute) = 240 seconds
[Multiply by the ratio and simplify.]

4 minutes equals 240 seconds.

4.
Using unit analysis, convert 45 yards to feet.
 a. 180 feet b. 90 feet c. 135 feet d. 130 feet

#### Solution:

3 feet = 1 yard, so, 3 feet1 yard is equal to 1.

45 yards = 45 yards × (3 feet1 yard) = 135 feet
[Multiply by the ratio and simplify.]

45 yards equals 135 feet.

5.
Bill walks at a rate of 4 miles per hour. Find the distance Bill covers in 2 hours.
 a. 12 b. 16 c. 8 d. 4

#### Solution:

Number of miles = 4 miles/hour × 2 hours
[Substitute rate and hours.]

= (4 × 2) miles
[Use Unit analysis.]

= 8 miles
[Multiply.]

Bill walks 8 miles in 2 hours.

6.
Using unit analysis, convert 7 dollars into rupees. The rate of currency exchange is 46.20 Indian rupees per one United States dollar.
 a. 323.40 rupees b. 320.40 rupees c. 326.40 rupees d. 329.40 rupees

#### Solution:

Since 46.20 rupees = 1 dollar, 46.20 rupees/1 dollar is equal to 1.

7 dollars = 7 dollars x (46.2 rupees/1 dollar)

= 7 x 46.20 rupees
[Use Unit analysis.]

= 323.40 rupees
[Multiply.]

7 dollars equals 323.40 rupees.

7.
Peter's bike gives an average mileage of 56 miles per gallon. Find the number of miles Peter can travel with 12 gallons of gas.
 a. 668 miles b. 670 miles c. 674 miles d. 672 miles

#### Solution:

Distance = 56 miles/gallon x 12 gallons
[Substitute the rate and the gallons.]

= 56 miles x 12
[Simplify.]

= 672 miles
[Multiply.]

Peter travels 672 miles with 12 gallons of gas.

8.
Edward earns $36 working in a Cafeteria for 6 hours. Find his earnings per hour.  a.$8 b. $7 c.$6 d. $5 #### Solution: Rate =$366 hours = $61 hour [Divide the numerator and the denominator by the GCF, 6.] Edward earns$6 per hour.

9.
Using unit analysis, convert 5 gallons to quarts.
 a. 19 quarts b. 20 quarts c. 22 quarts d. 21 quarts

#### Solution:

Since, 4 quarts = 1 gallon, 4 quarts/1 gallon is equal to 1.

5 gallons = 5 gallons x (4 quarts/1 gallon)

= 5 x 4 quarts
[Use Unit analysis.]

= 20 quarts
[Multiply.]

5 gallons equals 20 quarts.

10.
Jerald drives 460 miles in 4 hours. Find the distance covered by Jerald in 1 hour.
 a. 115 miles b. 120 miles c. 105 miles d. 110 miles

#### Solution:

Average speed = 460 miles/4 hours

= (460 ÷ 4 miles) / (4 ÷ 4 hours) = 115 miles/1 hour
[Divide the numerator and denominator by the GCF, 4.]

Jerald drives 115 miles in 1 hour.