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# = 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