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Chapter 3: Q. 102 (page 333)

Kim bought a pair of shoes on sale for $40.50. The sale price was 45% of the original price. What was the original price of the shoes?

Short Answer

Expert verified

The original price of the shoes is$90.

Step by step solution

01

Step 1. Given Information 

Kim bought a pair of shoes on sale for $40.50and the sale price was45%of the original price. We have to find the original price of the shoes.

02

Step 2. Translate into an equation 

Let xbe the original price of the shoes.

Now, the sale price 45%of the original price is $40.50

So, the equation is

45%路x=40.50

03

Step 3. Solve the equation  

By proceeding with the calculation further

45%路x=40.500.45路x=40.50x=40.500.45x=90

04

Step 4. Check the answer 

So, yes 45%of90is40.50.

Thus, the original price of the shoes is$90.

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