SOLUTION: A radio advertiser buys time during prime time at $243 per minute and at late night time at $27 per minute. He bought three times as much late night time than for prime time, and s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A radio advertiser buys time during prime time at $243 per minute and at late night time at $27 per minute. He bought three times as much late night time than for prime time, and s      Log On


   



Question 622209: A radio advertiser buys time during prime time at $243 per minute and at late night time at $27 per minute. He bought three times as much late night time than for prime time, and spent $2268. How many minutes at each rate did he buy?
-the answer should be 7 minutes of prime time and 21 minutes of late night time, but I can't figure out how to do the math.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the prime time minutes and then represents the late night time. Each prime minute costs $243, so the value of the prime time is . Similarly, the value of the late night time is . So:



Solve for , then calculate .

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism