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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?

Complete the sentence below.

(Select)
(Select)
45
120
–120
–45
x + (Select) y (Select) (Select)

1 answer

To represent the number of desks (x) and chairs (y) that the office manager can buy within her budget, we can translate the costs into an inequality.

The total cost of desks is given by \(120x\) and the total cost of chairs is given by \(45y\). The equation that represents the budget constraint would therefore be:

\[120x + 45y \leq 2500\]

To format this for the fill-in-the-blanks:

"x + (Select) y (Select) (Select)", where:

  1. The first "Select" corresponds to the coefficient of \(y\), which is 45.
  2. The second "Select" corresponds to the coefficient of \(x\), which is -120 (to isolate \(y\)).
  3. The third "Select" is the budget limit, which is 2500.

Thus, when filled in, the sentence would read:

x + 45y ≤ 2500 - 120x

This shows the relationship between the number of desks and chairs within the available budget.