RATIOS AND RATES WORKSHEET

Problem 1 :

The ratio between the number of Anita's cousins and the number of Juan's cousins is 5:8. If Anita has 15 cousins, how many does Juan have?

A) 5       B) 8      C) 24     D) 40

Solution

Problem 2 :

Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? 

A) 90          B) 80           C) 60            D) 40

Solution

Problem 3 :

The cost of a luxury car compared to a mid-size family car is in the ratio 3:2. The cost of the mid-size family car to an economy car is 2:1. What is the ratio between the cost of a luxury car and the cost of an economy car?

A)  2:1    B) 3:1    C) 5:1      D) 6:1

Solution

Problem 4 :

If the Banded Peak school bus travels 2531 km in 26 hours, what unit rate correctly identifies their speed? 

A) 97.3km/h   B) 2531km/26 h   C) 97 km/h   D) 98 km/h

Solution

Problem 5 :

It costs $3.99 for 25 fl.oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?                Solution

Problem 6 :

A 16 oz package of brown rice costs 79 cents and 32 oz package of white rice costs $3.49. Which package is a better deal?                   Solution

Problem 7 :

A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second?               Solution

Problem 8 :

The greatest ratio among the ratios 2 : 3, 5 : 8 and 40 : 25 is

A) 2 : 3     B) 5 : 8     C) 40 : 25     D) all are equal

Solution

Problem 9 :

A pump moves 42 gallons in seven minutes. Find the unit rate.                 Solution

Problem10 :

You score 84 points in six games. How much do you score per game?                    Solution

Problem 1 :

If an object travels at 15 feet per minute, how many feet does it travel in 1.5 seconds ?

Solution

Problem 2 :

How many pounds of flour are needed to make 15 rolls of bread if 20 pounds of flour are needed to make 100 rolls of bread?

Solution

Problem 3 :

The ratio of 1.5 to 1 is equal to which of the following ratios ?

a)  1 to 2        b)  2 to 1    c)  3 to 1     d)  3 to 2

Solution

Problem 4 :

Worker A can install a toy in 12 minutes. Worker B takes 10 minutes to install the same toy. In 5 hours, how many more toys can be installed by worker B than worker A ?

a)  10   b)   8    c)  7    d)  5

Solution

Problem 5 :

How many gallons are needed to travel 550 miles for a certain car that needs 17.5 gallons to travel 350 miles ?

Solution

Problem 6 :

How many more minutes would it take to burn a full of 640 gallon tank of gasoline for a certain rocket engine that can burn a full 480 gallon tank in 15 minutes?

Solution

Problem 7 :

If 60 pounds of force can stretch a spring 5 inches, how many inches will the spring be stretched by a force of 84 pounds ? Assume the force needed to stretch a spring varies directly with its stretch distance.

Solution

Problem 8 :

If John has $90 and he spends $30 on video games and $25 on food, what fraction of the original $90 does John have left ?

Solution

Problem 9 :

John takes 8 minutes to bike 3 miles. At this rate, how many minutes will it take to bike 4.5 miles ?

Solution

Problem 10 :

If x/y = 4/5, what is the value of 10x/4y ?

Solution

Problem 1 :

The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. Find the number of boys and girls.

Solution

Problem 2 :

A model car is scaled so that 1 inch of the model equals 6 feet of the actual car. If the model is 1⅔ inch long. How long is the actual car?

Solution

Problem 3 :

A car is traveling at a constant rate of 54 miles per hour. How many kilometers will the car travel in 5 minutes? (1 mile = 1.6 kilometers)

Solution

Problem 4 :

The ratio of males to females in an office is 6 : 7. If there are 42 males in the office, what is the total number of people in the office?

Solution

Problem 5 :

If 20 machines produce 1,240 printers in a day, how many more machines are needed to produce 1,984 printers in a day?

Solution

Problem 6 :

If ¾ quart of lemonade concentrate is mixed with 6⅔ quarts of water to make lemonade for 40 people, how many quarts of lemonade concentrate are needed to make the lemonade for 24 people?

Solution

Problem 7 :

A machine produced 735 tapes in 5¼ hours What fraction of the 735 tapes was produced in one hour?

Solution

Problem 8 :

A 32-acre field yields 768 bushels of corn each year. How many more acres are needed to yield 960 bushels of corn each year?

Solution

Problem 9 :

The length of a rectangle is 8 inches longer than the width. If the ratio of the length to perimeter is 5:16, what is the area of the rectangle?

Solution

Problem 10 :

If 12 grams of coffee costs x dollars and each gram makes y cups of coffee, what is the cost of one cup of coffee in terms of x and y?

Solution