5 months ago
Q:

3/5 of a certain number is added to 2 1/2.The result is equal to 1 1/4 subtracted from 2/3 of the number .Find the number

Accepted Solution

A:
$\frac{3}{5}n+\frac{5}{2}=1\frac{1}{4}-\frac{2}{3}n$
$\frac{3}{5}n+\frac{5}{2}=\frac{5}{4}-\frac{2}{3}n$
$\frac{3}{5}n=-\frac{5}{4}-\frac{2}{3}n$
$\frac{19}{15}n=-\frac{5}{4}$
$19n=-\frac{75}{4}$
$n=-\frac{75}{76}$