Question

A student used a 30% coupon to buy a pair of jeans. There was no tax. The student paid $67.34. What was the original price of the jacket?

Answer 1

$80 is the 100% original price

The sale price is $56 with 30% off and $24 in savings.

Explanation:

We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.

We then cross multiply across the equal sign from numerator to the opposite numerator.

30(x)=24(100)

30x=2400

We divide to find x.

x=80.

Since we saved $24 as a discount, the sale price would be 80-24=56.