Mike is ordering office chairs for his company. The chairs cost $250 each, and tax is an additional 12.5% of the total cost of the computers. If he can spend no more than $10,000 on the chairs, including tax, what is the maximum number of chairs that Mike can purchase?

Summary Submit Skip Question

Review Percents if you have trouble with interpreting percent changes.

If we have \(c\) chairs, our inequality should look something like this:

$$ 250c(1.125) \leq 10{,}000 $$ $$ c \leq 35.\overline{5} $$ $$ c=\boxed{35} $$

We can try figuring out the cost of the chairs in the answer choices. We want to start with an intermediate value, such as \(36\).

$$ \text{Total Cost}=36 \cdot \$250 \cdot (1.125) $$ $$ =\$10{,}125 $$

This is over Mike's budget, so \(35\) must be the answer.