MHB Jack and Jane: Same Height, Different Growth

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Jack's height increases by 15%, resulting in a new height of 5.75 ft. To find Jane's original height, represented as "h," the equation h(1.15) = 5.75 is used. Solving for h gives Jane's height as 5 ft. The discussion clarifies the calculation of percentage increase in height. Ultimately, Jane remains at her original height while Jack experiences growth.
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Suppose Jack and Jane are the same height, and Jack's height increases by 15% to 5.75 ft. If Jane does not grow, what is her height?Thank you in advance for your help and time.
 
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let $h$ represent Jack and Jane’s original same height ...

$h(1.15)=5.75$

solve for $h$
 
Expanding on what Skeeter said: If Jack's original height is "X" and increases by "15% of Jack's height" then it increases by 0.15X. So Jack's new height is X+ 0.15X= (1.00+ 0.15)X= 1.15X.
 

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