"Unit price word problems" is a much required stuff for the kids who study math in math in primary level.
Before we look at unit price word problems, let us look at some basic stuff about unit price.
Unit price definition and example :
Definition :
Unit price is nothing but the cost or price of one unit of a product or service.
Example :
If 18 units of a product cost $360,
then price per unit is = 360 / 18 = $20
To have better understanding unit price, let us look at some unit price word problems
Problem 1 :
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
Let us look at the next problem on "Unit price word problems"
Problem 2 :
If David sells 2 gallons of juice for $4, how much money will he earn by selling 17 gallons of juice ?
Solution :
Given : 2 gallons cost $4
Then, the price pf one gallon = 4 / 2 = $2
Price of 17 gallons = 2 x 17 = $34
Hence, David will earn $34 by selling 17 gallons of juice
Let us look at the next problem on "Unit price word problems"
Problem 3 :
The cost of a taxi is $40.50 for 15 miles. Find the cost per mile.
Solution :
Cost for 15 miles = 40.50
Cost for one mile = 40.50 / 15 = 2.70
Hence, the cost per mile is $2.70
Let us look at the next problem on "Unit price word problems"
Problem 4 :
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
Let us look at the next problem on "Unit price word problems"
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
Let us look at the next problem on "Unit price word problems"
Problem 6 :
Shanel gets 2/ 5 of a dollar for 1/7 hour of work.How much money does she get per hour ?
Solution :
Pay for 1/7 hour of work = $2/5
Pay for 1 hour of work = (2/5) / (1/7)
Pay for 1 hour of work = (2/5) x (7/1)
Pay for 1 hour of work = 14 / 5
Pay for 1 hour of work = $2.8
Hence, Shanel gets $2.8 per hour
Let us look at the next problem on "Unit price word problems"
Problem 7 :
If 3 /35 of a gallon of gasoline costs 1/5 of a dollar, find the price of 1 gallon of gasoline.
Solution :
Cost of 3/35 of a gallon = $1/5
Cost of 1 gallon = (1/5) / (3/35)
Cost of 1 gallon = (1/5) x (35/3)
Cost of 1 gallon = 7 / 3
Cost of 1 gallon = 2.3
Hence, the cots of 1 gallon of gasoline is $ 2.30
Let us look at the next problem on "Unit price word problems"
Problem 8 :
Declan would like to hire a call taxi for 300 miles trip. If the cost of the taxi is $2.25 per mile, what is the total cost for his trip ?
Solution :
Cost for one mile = $2.25
Cost for 300 miles = 2.25 x 300
Cost for 300 miles = $675
Hence, the total cost for the trip is $675
Let us look at the next problem on "Unit price word problems"
Problem 9 :
John ordered 330 units of a product for $495. Then he reduced his order to 270 units. How much money does John have to pay for 270 units ?
Solution :
Cost of 330 units = $495
Cost of 1 unit = 495 / 330
Cost of 1 unit = 1.5
Cost of 270 units = 1.5 x 270
Cost of 270 units = $405
Hence, John has to pay $405 for 270 units
Let us look at the next problem on "Unit price word problems"
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
Problem 1 :
Which is the best deal,
8 dolls cost $120
or
6 dolls cost $102 ?
Solution :
To compare the given measures, convert them in to unit rates.
8 dolls cost $120 Cost of 1 doll = 120 / 8 Cost of 1 doll = $15 |
6 dolls cost $102 Cost of 1 doll = 102 / 6 Cost of 1 doll = $17 |
We get the lowest price per doll is $15 in "8 dolls cost $120"
Hence, "8 dolls cost $120" is the best deal
Let us look at the next word problem on "Unit price"
Problem 2 :
Which is the best deal,
10 pencils cost $4
or
6 pencils cost $2.70 ?
Solution :
To compare the given measures, convert them in to unit rates.
Cost of 10 pencils = $4 Cost of 1 pencil = 4 / 10 Cost of 1 pencil = $0.40 |
Cost of 6 pencils = $2.70 Cost of 1 pencil = 2.7 / 6 Cost of 1 pencil = $0.45 |
We get the lowest price per pencil $0.40 in "10 pencils cost $4"
Hence, "10 pencils cost $4" is the best deal
Let us look at the next problem on "Unit price word problems"
Problem 3 :
Which is the best deal,
2 liters of milk at $3.80
or
1.5 liters of milk at $2.70 ?
Solution :
To compare the given measures, convert them in to unit rates.
2 liters of milk at $3.80 Cost of 1 liter = 3.8 / 2 Cost of 1 liter = $ 1.90 |
2 liters of milk at $2.70 Cost of 1 liter = 2.7 / 1.5 Cost of 1 liter = $ 1.8 |
From the above unit rates, we get the lower price per liter of milk $1.8 in "2 liters cost $2.70"
Hence, "2 liters cost $2.70" is the best deal
Let us look at the next word problems on "Unit price"
Problem 4 :
Who is better in earning,
David earns $57.60 in 8 hours
or
John earns $90 in 12 hours ?
Solution :
To compare the given measures, convert them in to unit rates.
David Earning in 8 hrs = $57.60 Earning in 1 hr = 57.60 / 8 Earning in 1 hr = $7.20 |
John Earning in 12 hrs = $90 Earning in 1 hr = 90 / 12 Earning in 1 hr = $7.50 |
From the above unit rates, John earns more than David per hour.
Hence, John is earning better
Let us look at the next word problem on "Unit price"
Problem 5 :
Which is best,
500 grams cheese cost $ 3.25
or
1.5 kilograms cheese cost $ 9.9
Solution :
To compare the given measures, convert them in to unit rates in price per kilogram.
500 grams -----> $3.25 1 kilogram = 2 x 500 grams Price of 1 kg = 2 x 3.25 Price of 1 kg = $6.5 |
1.5 kilograms -----> $9.9 Price of 1 kg = 9.9 / 1.5 Price of 1 kg = $6.6 |
From the above unit rates, we get the lower price per kilogram $6.5 in "500 grams cheese cost $ 3.25"
Hence, "500 grams cheese cost $ 3.25" is the best deal
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