Question

Assume that neither $x$ nor $y$ is equal to 0, to permit division by $x$ and by $y$.

$48:2x$ is equivalent to $144:600$. What is $x$?

• A. $200$
• B. $100$
• C. $400$
• D. $250$

Answer 1

The correct option is B $100$

$\frac{48}{2x}=\frac{144}{600}$

Simplify the ratios and cancel factors horizontally across the equals sign.

$\frac{48}{2x}=\frac{144}{600}$

$\frac{24}{x}=\frac{6}{25}$

$x=100$

Then, cross-multiply: $x=100$.