Patrice user a $15 gift certificate when she purchased a pair of sandals. After 8% sales tax was applied to the price of the sandals, the $15 dollars was deducted. Patrice had to pay a total of $12 for the sandals. How much did the sandals cost before tax?

Respuesta :

Answer:

The sandals cost before tax $25.

Step-by-step explanation:

Let us assume that the sandals cost before tax $x.

So, after giving an 8% tax the price will be [tex]x(1 + \frac{8}{100}) = 1.08x[/tex].

If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then

1.08x - 15 = 12

⇒ 1.08x = 27

x = $25

Hence, the sandals cost before tax $25. (Answer)