Question

2- A fração 180 x é equivalente à fração 600 x+4 . Determine x.

Answer 1

Resposta:

$\dfrac{12}{7}$

Explicação passo-a-passo:

$\dfrac{180}{x}=\dfrac{600}{x+4} \\\\\\\Rightarrow 180(x+4)=600x\\\\\\\Rightarrow 180x+720=600x\\\\\\\Rightarrow 720=600x-180x\\\\\\\Rightarrow 420x=720\\\\\\\Rightarrow x=\dfrac{720}{420}\\\\\\\Rightarrow x=\dfrac{12}{7}$