**Unit prices :**

The "Unit Price" (or "unit cost") means the cost per liter, per kilogram, per pound, etc, of what you want to buy.

Formula to find unit price

**= Cost/Quantity**

Let us see some examples based on the above concept.

**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**

After having gone through the stuff given above, we hope that the students would have understood "Unit prices".

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