Question

A hotel manager needs to buy beds and chairs. He has a total budget of 2000 dollars, and each bed costs $150 and each chair costs $50. Write an inequality to describe the possible number of beds and chairs that he can buy. If he buys 6 beds, what is the maximum number of chairs he can buy?

Answer 1

The maximum number of chairs he can buy is C ≤ 22

Explanation:

Let B represent the number of beds the hotel manager can buy.

Let C represent the number of chairs the hotel manager can buy.

Putting this into an expression, we have:

150B + 50C ≤ 2000

Since the hotel manager buys 6 beds, putting this into the information above:

150 (6) + 50C ≤ 2000

900 + 50C ≤ 2000

50C ≤ 2000 - 900

50C ≤ 1100

C ≤ 22