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?

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Answer 1 · 2018-08-11T02:27:24

4 Hours

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

add $$ 55$ $$55$ for the assistant

$$ 125 h + $ 55 =$ $$125h + $55 =$ Total Cost

$$ 125 h + $ 55 = $ 555$ $$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