SOLUTION: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $25

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $25      Log On


   



Question 1072354: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $25 million. Tropical music brought in twice as much as urban music, and pop/rock music brought in $7 million more than the others combined. How much revenue was earned from digital sales in each of the three categories?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $25 million. Tropical music brought in twice as much as urban music, and pop/rock music brought in $7 million more than the others combined. How much revenue was earned from digital sales in each of the three categories?
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r + t + u = 25 mil
t = 2u
r = t+u+7
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Substitute and solve for "u"::
3u+7 + 2u + u = 25 mil
6u = 18 mil
u = 3 million (revenue from urban)
t = 2u = 6 million (revenue from tropical)
r = t + u + 7 = 6 + 3 + 7 = 16 million (revenue from rock)
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Cheers,
Stan H.
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