Question

Sarah is going to a higher a DJ for her party. DJ iceman charges an initial fee of $100 in addition to $21 per hour. DJ chomp charges initial fee of $150 in addition to $15 per hour. When will the two DJs charge the same amount of money?

Answer 1

$8.33

Explanation:

100+21x=150+15x

-21x -21x

100=150-6x

-150 -150

-50=-6x

8.3333...=x

You can round the answer to $8.33

Answer 2

First you make an equation and establish a variable.
x=amount of hours the DJs will charge the same amount
100+21x=150+15x
Now you solve for x and that will get you your answer.
100+21x=150+15x
-21x -21x
100=150-6x
-150 -150
-50=-6x
8.3333...=x
You can round the answer to $8.33
Hope I helped.