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’s original weight?

Short Answer

Expert verified

Lisa's original weight is $175$ pounds.

Step by step solution

Step 1. Given Information

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

Step 2. Translate into an equation

Let xbe the original weight.

Lisa had lost $12 %$ of her original weight and she lost $21$ pounds.

So, the equation is

$(12 %) \cdot x = 21$

Step 3. Solve the equation

By proceeding with the calculation further

$(12 %) \cdot x = 21 (0.12) x = 21 x = \frac{21}{0.12} x = 175$

Step 4. Check the answer

So, yes $12 % of 175 is 21 .$

Thus, Lisa's original weight is $175$ pounds.

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

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

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

Mechanics Maths

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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