CONVERT UNIT RATES WORD PROBLEMS
About "Convert unit rates word problems"
Convert unit rates word problems are much useful to the students who would like to practice problems on "Unit rate"
First let us understand what is unit rate.
Unit rate definition (or) Definition of unit rate :
Unit rate compares the given amount to one unit of another measure
(or)
The ratio between the given value and 1
(or)
Comparing the given amount or value to 1
Examples :
1. If 8 dolls are made in 4 days,
then number of dolls made in 1 day = 2
2. If David earns $180 in 9 hours,
then number of dollars earned by him in 1 hour = $ 20
3. If there are 16 cups in 4 quarts,
then the number of cups in 1 quart = 4
Liquid Measurements - Unit rates
From the above picture, we can get the following unit rates related liquid measurements.
1 gallon = 16 cups
1 gallon = 8 pints
1 gallon = 4 quarts
1 quart = 2 pints
1 quart = 4 cups
1 pint = 2 cups
Convert unit rates word problems - Practice problems
To have better understanding on unit rate definition, let us look some practice problems.
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 x 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
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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 x 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.
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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 = 180
1 hour = 60 minutes
So, no. of miles covered in 60 minutes = 180
Then, no. of miles covered 1 minute = 180 / 60 = 3
Hence, John can cover 3 miles in 1 minute.
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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 pf one basket ball = 1143.75 / 75 = 15.25
Hence, the unit rate in price per basket ball is $ 15.25
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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
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Problem 6 :
Shanel walks 2/ 5 of a mile every 1/7 hour. Express her speed as a unit rate in miles per hour.
Solution :
Given : Shanel walks 2/ 5 of a mile every 1/7 hour
We know the formula for speed.
That is, Speed = Distance / time
Speed = (2/5) / (1/7)
Speed = (2/5) x (7/1)
Speed = 14 / 5
Speed = 2.8 miles per hour.
Hence, the speed of Shanel is 2.8 miles per hour
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Problem 7 :
Declan use 2 /35 of a gallon of gas for every 4 /5 of a mile that he drives. At this rate, how many miles can he drive on one gallon of gas?
Solution :
Given : In 2 /35 of a gallon of gas, 4 /5 of a mile is traveled
Then, in 1 gallon of gas = (4/5) x (35/2) miles traveled.
in 1 gallon of gas = 14 miles traveled.
Hence, Declan can drive 14 miles in 1 gallon of gas
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Problem 8 :
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 = 21 x 2.5 = 52.5
Hence, 52.5 miles traveled in 2.5 gallons of fuel
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Problem 9 :
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 x 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
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Problem 10 :
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 x 2.8 = 145.6
Hence, Mr. David will earn $145.6 in 2.8 hours
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