Question

Gastei 2/3 do meu salário e depois 1/4 do resto ficando ainda com R $ 150,00. Quanto é meu salário?​

Answer 1

$\sf \bullet \underbrace{\sf Veja\:Abaixo}$

$\sf \displaystyle \frac{2x}{3}+\frac{1}{4}\left(x-\frac{2x}{3}\right)=x-150\\\\\\\frac{2x}{3}+\frac{x-\frac{2x}{3}}{4}=x-150\\\\\\{Multiplicar\:pelo\:m\acute{i}nimo\:m\acute{u}ltiplo\:comum=}12\\\\\\\frac{2x}{3}\cdot \:12+\frac{x-\frac{2x}{3}}{4}\cdot \:12=x\cdot \:12-150\cdot \:12\\\\\\9x=x\cdot \:12-1800\\\\\\9x-x\cdot \:12=x\cdot \:12-1800-x\cdot \:12\\\\\\-3x=-1800\\\\\\\frac{-3x}{-3}=\frac{-1800}{-3}\\\\\\\to \boxed{\sf \red{x=R\ 600,00}}$