Unit price is the price of one unit of a product or service.
Formula to find unit price
= Total Cost/Quantity
Let us look at some example to understand unit prices.
Example 1 :
A candy company used 36 pints of chocolate to make 4 boxes of candy. What is the rate of pints of chocolate per box?
Solution :
A candy company used 36 pints of chocolate to make 4 boxes of candy.
36 pints of chocolate = 4 boxes of candy
1 box = 36/4
= 9
Example 2 :
A machine worked for 4 hours and used 2 kilowatts of electricity. The machine used ____ of a kilowatt each hour it worked.
Solution :
If the machine works for 4 hours, it will use 2 kilowatts of electricity.
4 hours = kilowatts
1 hour = 2/4 kilowatts
= 1/2 kilowatts
Example 3 :
It took a pet store 7 weeks to sell 21 cats. What is the rate sold per week?
Solution :
Given information :
It took a pet store 7 weeks to sell 21 cats
7 weeks = 21 cats
1 week = 21/7
= 3 cats
Example 4 :
A jogger traveled 30 kilometers in 10 days. What is the rate he traveled per day?
Solution :
Given information :
A jogger traveled 30 kilometers in 10 days.
10 days = 30 kilometers
1 day = 30/10
= 3 kilometer
Example 5 :
An industrial machine is able to make 80 pens in 8 seconds. What is the rate made per second?
Solution :
Given information :
An industrial machine is able to make 80 pens in 8 seconds.
80 pens = 8 seconds
1 second = 80/8
= 10 pens
Example 6 :
A pencil company used 100 grams of rubber to make 10 pencils, which is a rate of ___ grams per pencil.
Solution :
Given information :
A pencil company used 100 grams of rubber to make 10 pencils.
10 pencils = 100 grams of rubber
1 pencil = 100/10
= 10 grams of rubber
Example 7 :
A lumber company had 4 bundles of wood (24 pieces total). What is the rate of pieces per bundle?
Solution :
Given information :
24 pieces will make 4 bundles
24 pieces = 4 bundle
1 bundle = 24/4
= 6 pieces
Example 8 :
A scientist used 3 gallons of liquid for every 4 hours he works. He uses ____ of a gallon each hour he works.
Solution :
Given information :
A scientist used 3 gallons of liquid for every 4 hours he works.
3 gallons = 4 hours
1 hour = 3/4 gallons
Example 9 :
An ice machine used 2 gallons of water after running non-stop for 5 hours. How many gallons of water did it use each hour?
Solution :
Given information :
An ice machine used 2 gallons of water after running non-stop for 5 hours
2 gallons = 5 hours
1 hour = 2/5 gallons
Example 10 :
A toy company used 40 pints of plastic to make 5 action figures, which is a rate of ___ pints per figure.
Solution :
Given information :
A toy company used 40 pints of plastic to make 5 action figures
40 pints of plastic = 5 action figures
1 action figure = 40/5
= 8 pints
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