Question

Will is 29​% taller than​ Wanda, so​ Will's height is​ ____% of​ Wanda's height.

Answer 1

Will is 29% taller than Wanda, so Will's height is 77.5% of Wanda's height.

Solution:

Let x be Will's height, and y be Wanda's height.

Since Will is 29% taller than Wanda we have,

$x=1.29y \rightarrow(y+29\% \text{ of y }\rightarrow1y+.29\rightarrow y\rightarrowy(1+.29)\Rightarrow1.29y)$

Then solving for y we get,

$\Rightarrow y=\frac{x}{1.29}\rightarrow y=\frac{100x}{129}$

$\Rightarrow y\approx0.7752x$

Therefore, Will is 77.5% of Wanda's height.