Question

If $x=0.5(y+z)$ and the sum of $x$, $y$, and $z$ is equal to $300$, then determine the value of $x$.

• A. $40$
• B. $100$
• C. $150$
• D. $250$

Answer 1

The correct option is B $100$

Given $x=0.5(y+z)$.......(1)

and $x+y+z=300$........(2)

Add $0.5x$ both sides equation (1), we get

$x+0.5x=0.5(y+z)+0.5x$

$=1.5x=0.5(x+y+z)$

Put the value of $x+y+z=300$ as per equation (2), we get

$1.5x=0.5\times 300$

$\Rightarrow 1.5x=150$

$\Rightarrow x=100$