Question

Pageturner Bookstore sells two kinds of used books: hardcover and paperback. A hardcover book costs $8 and a paperback book costs $7. In one day, the store sold 10 books for a total of $76. How many hardcover books did they sell?

Please help!!!

Answer 1

Let x be the number of hardcover and y be number of paperback

Then the equations are :---

1. 8x+7y=76 .............(i)
2. x+y=10 ..............(ii)

Multiplying the second equation with 7 and substrating it from the first equation we get,

• (8x+7y)-(7x+7y)= (76-70)
• x=6

Therefore, bookstore sold 6 hardcover.

6 is the right answer.

Answer 2

• 6 hardcover books

Explanation:

Let h be hardcover and p be paperback

We have following equations:

• 8h + 7p = 76
• h + p = 10

Multiply the second equation by 7 and subtract from the first equation:

• 8h + 7p - 7h - 7p = 76 - 70
• h = 6