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?

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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.