Question

yasmin bought several items at the discount store. she paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. what was the total amount of her purchase before tax was added?
$40.16
$52.46
$150.63
$401.63

Explanation:

Step1: Define the problem

Let \( x \) be the total amount before tax. The sales tax rate is \( 8.75\% = 0.0875 \), and the tax amount is \( \$4.59 \). We know that tax amount = rate × pre - tax amount, so the equation is \( 0.0875x=4.59 \).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation by \( 0.0875 \): \( x = \frac{4.59}{0.0875} \).
Calculating \( \frac{4.59}{0.0875}\approx52.46 \) (rounded to two decimal places).

Answer:

\(\$52.46\)