Mathematics: The heights of a maple tree and a cherry tree have a ratio of 5: 2. if the maple tree grew 20 cm and 20 cm was cut off the top of the cherry tree, the ratio of their heights would be 3: 1. how much taller is the maple tree than the cherry tree?

The heights of a maple tree and a cherry tree - id1583723, rwerjekrryery6750

Ответ:

zamariahyou

15.03.2022

Let x be the heights of a maple tree and y be the height of the cherry tree.
We know:
$\frac{x}{y} = \frac{5}{2}$
The new ratio is obtained like this:
$\frac{x+20}{y-20} = \frac{3}{1}$ .
From the above equation we get $x= (y-20)\frac{3}{1} -20$ .
then $\frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}$
Solving the above equation for y we get: y=160