MHB Jack and Jane: Same Height, Different Growth

[LeanaLerner]

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.

 

[skeeter]

let $h$ represent Jack and Jane’s original same height ...

$h(1.15)=5.75$

solve for $h$

 

[HallsofIvy]

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.