Question

ben has a coupon for an additional 15% off of any item in a store. He uses his coupon to buy a shirt who's sale price is already 20% off the original price. he pays $14.96 and there is no sales tax. What is the original price of the shirt.

Answer 1

EXPLANATION

Let's see the facts:

Discount= 15%

Shirt price = 20% off from original = 80%*original price = 0.8*original price

Amount paid = $14.96 [No tax]

Let's call x to the original price of the shirt, the equation would be as follows:

14.96 = (1-0.15)*(1-0.2)*x [Subtracting numbers]

14.96 = 0.85*0.8*x [Multiplying like numbers]

14.96 = 0.68x [Dividing both numbers by 0.68]

14.96/0.68 = x [Simplifying