Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40 each. What is the minimum he can sell to reach his goal?

57 birdhouses

Step-by-step explanation:

Mitch loses 28x for the birdhouses, but gains 40x for the birdhouses. If he needs to make at least $678 then you can set the inequality like so:

678 > - 28x + 40x

Combine like terms.

678 > 12x

Divide both sides by 12.

56.5 > x

The minimum that Mitch can sell is rounded up because if it was rounded down then he wouldn't make a profit (keep in mind this is the minimum that Mitch can sell).

Therefore Mitch can sell a minimum of 57 birdhouses in order to reach his goal.

Exact=56.5 rounded would be 57 because you can't make half a birdhouse.