Digital PSAT Math Practice Question 329: Answer and Explanation

Question: 329

A high school is evaluating two different DJs for its prom-DJ A and DJ B. The first one, DJ A, has a $300 rental fee and charges $150 per hour. The second one, DJ B, has a $200 rental fee and charges $175 per hour. After how many hours of performing will the cost for both DJs be the same?

Grid-In:

Correct Answer: 4

Explanation:

4 Set up equations expressing the total costs for each DJ, where T represents time:

DJ A's cost: 300+150TDJ B's cost: 200+175T

Set the equations equal to one another and solve for time:

300+150T=200+175T100=25TT=4
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