# A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of work san you afford?

##### 1 Answer

4 hours, assuming any portion of an hour worked is charged out as another hour. 4.2 hours if that assumption doesn't hold.

#### Explanation:

We have $320 in the wallet:

And it costs $65 for the diagnostic check, so that means we pay that from our 320:

And the plumber charges $85/hr, so we divide that into the money we have left:

We can also approach this problem by writing out one algebraic equation. It would look like this:

we can drop numbers into this:

and so we can substitute in:

and now we solve:

and then round down to the closest whole number, or 4.