Question

Qual o valor de X e Y na proporção X/Y=36/48,sabendo que X+Y=21?

Answer 1

Se x + y = 21, então x = 21 - y.

$\frac{21-y}{y} = \frac{36}{48} \\ \frac{21-y}{y} = \frac{6}{8} \\ \frac{21-y}{y} = \frac{3}{4} \\ y= \frac{4(21-y)}{3} = \frac{84-4y}{3} \\ 5y=28 \\ y= \frac{28}{5}$

$x=21-y \\ x=21- \frac{28}{5} \\ x= \frac{105}{5} - \frac{28}{5} \\ \\ x= \frac{77}{5}$