Question

To renew its inventory, a bookstore announces a big sale. A book costs $6 more than a magazine. Sonia buys 5 books and 8 magazines for $49.50. How much will Monique pay if she buys 7 books and 3 magazines?

(I have the answer already)

(this a test for you)​

Answer 1

$57.00

Explanation:

Let's start by using algebra to solve for the cost of a book and a magazine.

Let x be the cost of a magazine. Then the cost of a book is x + 6.

Sonia buys 5 books and 8 magazines for $49.50, so we can write:

5(x + 6) + 8x = 49.50

Simplifying this equation, we get:

5x + 30 + 8x = 49.50

13x + 30 = 49.50

13x = 19.50

x = 1.50

So a magazine costs $1.50, and a book costs $1.50 + $6 = $7.50.

To find out how much Monique will pay for 7 books and 3 magazines, we can use the prices we just calculated:

7 books will cost 7 x $7.50 = $52.50

3 magazines will cost 3 x $1.50 = $4.50

So Monique will pay a total of $52.50 + $4.50 = $57.00 if she buys 7 books and 3 magazines during the sale.