Question

Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $15 and chairs cost $25. The center cannot spend more than $1500. Which inequality represents all possible combinations of s stools and c chairs? 15s+25c<1500 15s+25c≤1500 15c+25s≤1500 15c+25s≥1500

Answer 1

15c + 25s ≤ 1500

Explanation:

Let the number of stools be s

Let the number of chairs bought be c

If each tools cost $15, s stools will cost $15c

If a chairs cost $25, c chairs will cost $25s

Total costs = 15c + 25s

If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500

The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.

Hence the correct equation is 15c + 25s ≤ 1500