CONVERTING UNIT RATES WORKSHEET

Converting Unit Rates Worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on converting unit rates.

Converting Unit Rates Worksheet - Problems

Problem 1 :

In a business, if A can earn \$7500 in 2.5 years, find the unit rate of his earning per month.

Problem 2 :

If David can prepare 2 gallons of juice in 4 days, how many  cups of juice can he prepare per day ?

Problem 3 :

If John can cover 360 miles in 3 hours, find the number of miles covered by John in 1 minute.

Problem 4 :

75 basketballs cost \$1,143.75. Find the unit rate in price per basketball.

Problem 5 :

In 36.5 weeks, Miguel raised \$2,372.50 for cancer research. How was his unit rate in price per week ?

Problem 6 :

A person can cover a distance of 84 miles in 4 gallons of fuel. If he has 2.5 gallons, how many miles can he cover ?

Problem 7 :

If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?

Problem 8 :

My David earns \$416 in 8 hours. How much does earn in 2.8 hours ? Converting Unit Rates Worksheet - Solution

Problem 1 :

In a business, if A can earn \$7500 in 2.5 years, find the unit rate of his earning per month.

Solution :

Given : Earning in 2.5 years  =  \$7500

1 year  =  12 months

2.5 years  =  2.5  12  =  30 months

Then, earning in 30 months  =  \$7500

Therefore, earning in 1 month  =  7500 / 30  =  \$250

Hence, the unit rate of his earning per month is \$250.

Problem 2 :

If David can prepare 2 gallons of juice in 4 days, how many  cups of juice can he prepare per day ?

Solution :

No of gallons of juice prepared in 4 days  =  2 gallons

1 gallon  =  16 cups

So, no. of cups of juice prepared in 4 days  =  2  16  =  32 cups

Therefore, David can prepare 32 cups of juice in 4 days.

Then, no. of cups of juice prepared in 1 day  =  32 / 4  =  8

Hence, David can prepare 8 cups of juice in 1 day.

Problem 3 :

If John can cover 360 miles in 3 hours, find the number of miles covered by John in 1 minute.

Solution :

No of miles covered in 3 hours  =  360

Then, no. of miles covered in 1 hour  =  360 / 3  =  120

1 hour  =  60 minutes

So, no. of miles covered in 60 minutes  =  120

Then, no. of miles covered 1 minute  =  120 / 60  =  2

Hence, John can cover 2 miles in 1 minute.

Problem 4 :

75 basketballs cost \$1,143.75. Find the unit rate in price per basketball.

Solution :

Given : 75 basketballs cost \$1,143.75

Then, price of one basket ball  =  1143.75 / 75  =  15.25

Hence, the unit rate in price per basket ball is \$ 15.25

Problem 5 :

In 36.5 weeks, Miguel raised \$2,372.50 for cancer research. How was his unit rate in price per week ?

Solution :

Given : Miguel raised \$2, 372.50 in 36.5 weeks

Then, amount raised in one week  =  2372.5 / 36.5  =  65

Hence, the unit rate in price per week was \$65.

Problem 6 :

A person can cover a distance of 84 miles in 4 gallons of fuel. If he has 2.5 gallons, how many miles can he cover ?

Solution :

Given : 84 miles can be traveled in 4 gallons.

Then, no. of miles traveled in 1 gallon  =  84 / 4  =  21

Therefore, no. of miles traveled in 2.5 gallons  is

=  21  2.5

=  52.5

Hence, 52.5 miles traveled in 2.5 gallons of fuel.

Problem 7 :

If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?

Solution :

Given : 8 cups in one month

1 year  =  12 months

So, no. of cups in 1 year  =  8  12  =  96 cups

1 gallon  =  16 cups

Therefore, no. of gallons in 1 year  =  96 / 16  =  6

Hence, he will drink 6 gallons of apple juice in 1 year.

Problem 8 :

My David earns \$416 in 8 hours. How much does earn in 2.8 hours ?

Solution :

Given : Earning in 8 hours  =  \$ 416

Earning in 1 hour  =  \$ 52

Earning in 2.8 hours  =  52  2.8  =  145.6

Hence, Mr. David will earn \$145.6 in 2.8 hours. After having gone through the stuff given on "Converting unit rates worksheet", we hope that the students would have understood how to solve problems using unit rates.

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