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Fill in the blank. Will is \( 25 \% \) taller than Wanda, so Will's height is \( \% \) of Wanda's height. Will's height is \( \square \% \) of Wanda's height.

Ask by Harris Wheeler. in the United States
Feb 18,2025

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Answer

Will's height is 125% of Wanda's height.

Solution

To solve the problem, we need to determine what percentage Will's height is of Wanda's height given that Will is \( 25\% \) taller than Wanda. 1. Let's denote Wanda's height as \( W \). 2. Since Will is \( 25\% \) taller than Wanda, we can express Will's height \( H \) as: \[ H = W + 0.25W = 1.25W \] 3. To find out what percentage Will's height is of Wanda's height, we can set up the following ratio: \[ \text{Percentage} = \left( \frac{H}{W} \right) \times 100 \] 4. Substituting \( H \) from step 2 into the equation: \[ \text{Percentage} = \left( \frac{1.25W}{W} \right) \times 100 \] 5. Simplifying the ratio: \[ \text{Percentage} = 1.25 \times 100 = 125\% \] Thus, Will's height is \( 125\% \) of Wanda's height. The final answer is: Will's height is \( \square = 125 \) % of Wanda's height.

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Will's height being \( 25\% \) taller than Wanda means his height is \( 100\% + 25\% = 125\% \) of Wanda's height. Therefore, Will's height is \( 125\% \) of Wanda's height.

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