Question

Books in the clearance section at Reading Central Bookmart cost $6.00 for paperbacks and $12.00 for hardbacks. Which inequality best describes the number of paperback books, p, and the number of hardback books, h, that can be purchased for $53.00 or less?

A.
12p + 6h > 53
B.
6p + 12h < 53
C.
12p + 6h < 53
D.
6p + 12h < 53

Answer 1

Let's start by setting up the inequalities for the cost of the paperbacks and hardbacks:

- The cost of p paperbacks is 6p dollars.
- The cost of h hardbacks is 12h dollars.

We want to find an inequality that describes the maximum number of paperbacks and hardbacks that can be purchased for $53.00 or less. We can write this inequality as:

6p + 12h ≤ 53

This is because the sum of the costs of the paperbacks and hardbacks must be less than or equal to $53.00. Therefore, the answer is option D: 6p + 12h < 53.