Question

Fatima purchased a new mattress when it was on sale. The sale price was 16% less than the regular price. If the sale price was $306, what was the original price? (Round your answer to the nearest dollar).

Answer 1

Original price = $364

Explanation:

• Since the sale price (s) was 16% less than the regular price (r), the sale price is essentially 16% of the regular price subtracted from the regular price.

(Note that 0.16 is simply 16% as a decimal).

To show this algebraically, we have:

s = r - 0.16r

s = 0.84r

Now we can find the regular price by substituting 306 for s:

(306 = 0.84r) / 0.84

364.2857143 = r

364 = r

Thus, the regular price is about $364.