Question

11) Qual o valor de x sabendo que x + y + z = 40 e que x/2=y/3=z/5
a) 4 b) 8 c) 12 d) 16

Answer 1

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$\begin{cases}\sf x+y+z=40\\\sf\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{5}=k\end{cases}\\\begin{cases}\sf x+y+z=40\\\sf x=2k\\\sf y=3k\\\sf z=5k\end{cases}$

$\sf x+y+z=40\\\sf 2k+3k+5k=40\\\sf 10k=40\\\sf k=\dfrac{40}{10}\\\sf k=4$

$\sf x=2\cdot4\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=8}}}}\blue{\checkmark}$