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 :
Shanel walks 2/5 of a mile every 1/7 hour. Express her speed as a unit rate in miles per hour.
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?
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?
Problem 9 :
If a person drinks 8 cups of apple juice per month, how many gallons will he drink in one year?
Problem 10 :
My David earns $416 in 8 hours. How much does earn in 2.8 hours?
1. Answer :
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
So, the unit rate of his earning per month is $250.
2. Answer :
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
So, David can prepare 8 cups of juice in 1 day.
3. Answer :
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.
So, John can cover 3 miles in 1 minute.
4. Answer :
Given :75 basketballs cost $1,143.75.
Then, price pf one basket ball :
= 1143.75/75
= 15.25
So, the unit rate in price per basket ball is $15.25.
5. Answer :
Given : Miguel raised $2,372.50 in 36.5 weeks.
Then, amount raised in one week :
= 2372.5/36.5
= 65
So, the unit rate in price per week was $65.
6. Answer :
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)
= (2/5) ⋅ (7/1)
= 14/5
= 2.8 miles per hour
So, the speed of Shanel is 2.8 miles per hour.
7. Answer :
Given : In 2/35 of a gallon of gas, 4/5 of a mile is traveled
2/35 of a gallon of gas -----> 4/5 of a mile
1 gallon of gas -----> (4/5) ⋅ (35/2) miles
1 gallon of gas -----> 14 miles
So, Declan can drive 14 miles in 1 gallon of gas.
8. Answer :
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
So, 52.5 miles traveled in 2.5 gallons of fuel.
9. Answer :
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
So, he will drink 6 gallons of apple juice in 1 year.
10. Answer :
Given : Earning in 8 hours = $416
Earning in 1 hour = $52
Earning in 2.8 hours = 52 ⋅ 2.8 = 145.6
So, Mr. David will earn $145.6 in 2.8 hours.
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