A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Question

Mathematics

Charlotte Werner

1 November, 06:33

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

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Answers (1)

Know the Answer?

Elaine Rose · Answer 1

P = h - 11

53p + 45h = 784.10

just a matter of subbing and solving ...

53 (h - 11) + 45h = 784.10

53h - 583 + 45h = 784.10

98h = 784.10 + 583

98h = 1367.10

h = 1367.10/98

h = 13.95

p = h - 11

p = 13.95 - 11

p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece