Question

Raphael has a coupon to Bookstore A for $12.00 off the list price of a book. Bookstore B sells the same book for 20% less than the list price. After doing some calculations, Raphael discovers that, with the discounts, the book costs twice as much at Bookstore B as it costs at Bookstore A. What is the list price of the book?

Answer 1

To find the list price of the book, set up an equation using the discounts at both Bookstore A and Bookstore B. Solve the equation to find the list price.

Step-by-step explanation:

To find the list price of the book, let's assume it is $x. From the given information, we know that the discount at Bookstore A is $12.00. Therefore, the price at Bookstore A after the discount would be $x - $12.00.

Bookstore B sells the same book for 20% less than the list price. So, the price at Bookstore B would be (100% - 20%) of the list price, which is 80% of the list price, or 0.8x.

According to the problem, the price at Bookstore B is twice the price at Bookstore A after the discounts. Therefore, we can set up the equation: 0.8x = 2(x - $12.00). Solving this equation will give us the list price, x.