1. (Section 1.2) The University Bookstore offers a 6% discount on all texts ordered by June 30

Question

1. (Section 1.2) The University Bookstore offers a 6% discount on all texts ordered by June 30. Katherine ordered her books on June 28 and paid a total of $421.56. If Katherine had ordered her books on July 2, how much would she have paid? Round your answer to the nearest cent.

Please help ASAP thank you!

Answer 1

Hello, Christy,

Let X be the cost of the books with no discount. The money saved (discounted) is 0.06X (6% off). The price after discount would therefore be:

Price After Discount = X - 0.06X

We know the price after discount - it is what Katherine paid, $421.56, so we have

$421.56 = 0.94X

X = $448.48, the original price for the books.

You should check the number. $448.48 - (0.06)*($448.48) = ?, which should result in the amount Katherine paid.

I hope this helps,

Bob