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

Step 1. Given Information

Kim bought a pair of shoes on sale for $$ 40.50$ and the sale price was $45 %$ of the original price. We have to find the original price of the shoes.

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

$(45 %) \cdot x = 40.50$

Step 3. Solve the equation

By proceeding with the calculation further

$(45 %) \cdot x = 40.50 (0.45) \cdot x = 40.50 x = \frac{40.50}{0.45} x = 90$

Step 4. Check the answer

So, yes $45 % of 90 is 40.50 .$

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

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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

Step by step solution

Step 1. Given Information

Step 2. Translate into an equation

Step 3. Solve the equation

Step 4. Check the answer

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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

Step by step solution

Step 1. Given Information

Step 2. Translate into an equation

Step 3. Solve the equation

Step 4. Check the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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?