Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Will's height is 125% of Wanda's height.
Solución
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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
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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