Math  /  Algebra

QuestionQuestion After 3 months of a new weightlifting program, Lisa has lost 12%12 \% of her original weight. She lost 24 lb . What was Lisa's original weight?

Studdy Solution

STEP 1

1. Lisa lost 12% of her original weight.
2. The amount of weight lost is 24 lb.
3. We need to find Lisa's original weight.

STEP 2

1. Define a variable for Lisa's original weight.
2. Set up an equation using the percentage formula.
3. Solve the equation for the original weight.

STEP 3

Define a variable for Lisa's original weight. Let x x represent Lisa's original weight in pounds.

STEP 4

Set up an equation using the percentage formula. Since Lisa lost 12% of her original weight, we can write:
0.12x=24 0.12x = 24

STEP 5

Solve the equation for the original weight. Divide both sides of the equation by 0.12 to isolate x x :
x=240.12 x = \frac{24}{0.12}

STEP 6

Calculate the division to find x x :
x=200 x = 200
Therefore, Lisa's original weight was:
200 \boxed{200} pounds.

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