SOLUTION: Good evening! I have one more word problem that I am working on tonight that I hope someone can help me with. CD Sales: The total weekly sales for a newly released rock CD in

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Good evening! I have one more word problem that I am working on tonight that I hope someone can help me with. CD Sales: The total weekly sales for a newly released rock CD in      Log On


   



Question 387184: Good evening! I have one more word problem that I am working on tonight that I hope someone can help me with.
CD Sales: The total weekly sales for a newly released rock CD increased each week. At the same time, the total weekly sales for a newly released rap CD decreased each week. Models that approximate the total weekly sales S (in thousands of units) for each CD are:
S = 25x + 100 Rock CD
S = -50x + 475 Rap CD
where x represents the number of weeks each CD was in stores, with x = 0 corresponding to the CD sales on the day each CD was first released in stores.
After how many weeks will the sales for the two CDs be equal?
Thanks so much!
Jim

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
S = 25x + 100 Rock CD
S = -50x + 475 Rap CD
where x represents the number of weeks each CD was in stores, with x = 0 corresponding to the CD sales on the day each CD was first released in stores.
After how many weeks will the sales for the two CDs be equal?
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Solve:
25x+100 = -50x + 475
75x = 375
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x = 5 weeks
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Cheers,
Stan H.