High School

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Karen tries a new weight-loss product. She reduces her weight by 15% and is now 86.5. What was her original weight?
A. 103.6
B. 101.8
C. 97.9
D. 99.5

Answer :

Answer:

B. 101.8

Step-by-step explanation:

100% - 15% = 85%

85% = 86.5

100% = 86.5 ÷ 85 x 100

= 101.76 (rounded 101.8)

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Rewritten by : Barada

Karen's original weight can be calculated using the formula: 86.5 = 0.85 * Original Weight. Her original weight is approximately (b) 101.8 pounds.

Karen's original weight can be calculated by considering that the 86.5 is 85% of her original weight (100% - 15% = 85%).

We use the equation:

86.5 = 0.85 * Original Weight

Solving this:

  1. Divide both sides by 0.85:
    Original Weight = 86.5 / 0.85
  2. This gives:
    Original Weight = 101.76

Rounding to the nearest tenth, we find that her original weight was approximately 101.8 pounds. Therefore, the correct answer is B. 101.8.