An office manager wants to buy extra desks and chairs for the office. Each desk costs $120, and each chair costs $45.

Question

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) x + (Select) y (Select) (Select)

Answer 1

To formulate the budget constraint in terms of the number of desks (x) and chairs (y), we can use the costs of the desks and chairs and the total budget.

The cost of desks is represented as \(120x\) (where x is the number of desks), and the cost of chairs is represented as \(45y\) (where y is the number of chairs). The total expense should not exceed the budget of $2,500.

Therefore, the equation representing the budget constraint is:

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

Now, let's complete the sentence based on the equation:

Complete the sentence below.

\(120x + 45y \leq 2500\)

So the completed sentence is:

Select: 120
Select: y
Select: ≤
Select: 2500