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Chapter 3: Q. 99 (page 333)

After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa鈥檚 original weight?

Short Answer

Expert verified

Lisa's original weight is175pounds.

Step by step solution

01

Step 1. Given Information  

Lisa has lost 21pounds of weight and after 3months on a diet, she had lost 12%of her original weight. We have to find Lisa's original weight.

02

Step 2. Translate into an equation 

Let xbe the original weight.

Lisa had lost 12%of her original weight and she lost21pounds.

So, the equation is

12%路x=21

03

Step 3. Solve the equation 

By proceeding with the calculation further

12%路x=210.12x=21x=210.12x=175

04

Step 4. Check the answer  

So, yes 12%of175is21.

Thus, Lisa's original weight is175pounds.

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