Question

hector spent $\frac{3}{4}$ of his money the day after he cashed his paycheck of $50. let $m$ represent the money hector spent.
which equation matches the word problem?
$\frac{3}{4}(m) = 50$
$50m = \frac{3}{4}$
$\frac{3}{4}(50) = m$
$m + \frac{3}{4} = 50$

Explanation:

Step1: Define variables and context

Hector's total money is $\$50$, $m$ is the amount spent. He spent $\frac{3}{4}$ of his $\$50$ paycheck.

Step2: Translate to equation

The amount spent $m$ equals $\frac{3}{4}$ multiplied by 50.
$\frac{3}{4} \times 50 = m$

Answer:

$\frac{3}{4}(50) = m$