Question

An office manager wants to buy extra desks and chairs for the office. Each desk costs $120, and each chair costs $45. Given that her total budget is $2,500, which of the following best represents the number of desks. x, and the number of chairs, y, she can buy?

A. 45x + 120y = 2,500
B. 120x + 45y = 2,500
C. 120x + 45y ≤ 2,500
D. 45x + 120y ≤ 2,500

Answer 1

The office manager can buy desks and chairs within the given budget. The correct equation to represent the number of desks and chairs is 45x + 120y ≤ 2,500.

Step-by-step explanation:

The office manager wants to buy desks and chairs for the office, and each desk costs $120 and each chair costs $45. The total budget is $2,500. We need to find an equation that represents the number of desks, x, and the number of chairs, y, that can be bought within the budget.

Let's create an equation based on the cost of the desks and chairs. The total cost of the desks would be 120x, and the total cost of the chairs would be 45y. These costs should not exceed the budget, which is $2,500. So, the equation would be:

120x + 45y ≤ 2,500

Therefore, the correct answer is option D.