Question

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour plus $55 for an assistant. The committee wants to keep the total cost under $555. What is the maximum amount of hours the DJ will play at the dance?

Answer 1

4 Hours

Explanation:

Make `h` = hours
`$125h` = cost per hour

add `$55` for the assistant

`$125h + $55 =` Total Cost

`$125h + $55 = $555`

Use additive inverse to isolate the term with the variable

`$125h cancel(+$55) cancel(-$55) = $555 - $55`

Use multiplicative inverse to isolate the variable

`(cancel($125)h)/(cancel($125)) = ($500)/($125)`

`h = 4` hours

Use additive inverse to isolate the term with the variable