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?

Question

$40.16
$52.46
$190.63
$401.63

Answer 1

To find the total amount of Yasmin's purchase before tax, we can use the sales tax amount and the sales tax rate.

1. We know the sales tax rate is 8.75%, which in decimal form is 0.0875.
2. The sales tax amount paid is $4.59.

We can use the formula for sales tax:

\[ \text{Sales Tax} = \text{Total Purchase Amount} \times \text{Sales Tax Rate} \]

Using the values we have:

\[ 4.59 = \text{Total Purchase Amount} \times 0.0875 \]

Now, we can solve for the Total Purchase Amount:

\[ \text{Total Purchase Amount} = \frac{4.59}{0.0875} \]

Calculating this gives:

\[ \text{Total Purchase Amount} = \frac{4.59}{0.0875} \approx 52.4 \]

Thus, rounding appropriately, the total amount of her purchase before tax was added is approximately $52.46.

Therefore, the answer is:

\[ \boxed{52.46} \]