Alibrary is selling books to raise money. all paperbacks cost the same amount, and all hardcover books cost the same amount. if one person buys 5 paperback books and 4 hardcover books and spends $124.91, and another person buys 3 paperback books and 2 hardcover books and spends $66.95, how much does each type of book cost? \

paperbacks are $8.99; hardcover books are $19.99.

Step-by-step explanation:

Letting p and h represent the costs of paperback and hardcover books, respsectively, we can write two equations for the cost of a book purchase based on the problem statement.

... 5p +4h = 124.91

... 3p +2h = 66.95

If we subtract the first equation from twice the second, we can find the cost of a paperback.

... 2(3p +2h) -(5p +4h) = 2(66.95) -124.91

... p = 8.99 . . . . . simplify

Using this value in the second equation gives ...

... 3·8.99 +2h = 66.95

... 2h = 39.98 . . . . . subtract 26.97

... h = 19.99 . . . . . . . divide by 2

Paperbacks are $8.99; hardcovers, $19.99.

560

hope this : )