Question

A sale at a store is 15%. If the sale price after

the discount is $35.70. What was the original
price of the sweatshirt (S)?

Answer 1

$42.00

Explanation:

Let x = the original cost of the sweatshirt

x - .15x = 35.70 We don't know the original cost so we will call it x. I know that we are taking 15 off of this number to get the sale's price. 15% means per 100, so as a fraction this would be 15/100. To make this a decimal, I would divide 15 by 100 to get .15

x - .15x = 35.70 Combine the like terms

.85x = 35.70 This is say that 85% if the original price is the sale price of 35.70

Divide both sides of the equation by .85 and we get x = 42.00

Check:

42 - .15(42) = 35.70

42 - 6.30 = 35.70