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 $21

Algebra ->  Test -> 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 $21      Log On


   



Question 1110122: 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 $21 million. Pop/rock music brought in twice as much as the other two categories combined and $9 million more than tropical music. How much revenue was earned from digital sales in each of the three categories?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


$21 million total; and pop/rock brought in twice as much as the other two combined. That means pop/rock was 2/3 of the total.

(1) pop/rock: 2/3 of $21 million = $14 million

$14 million for pop/rock leaves $7 million for the other two combined.

Pop rock ($14 million) brought in $9 million more than tropical music, so

(2) tropical music: $14 million - $9 million = $5 million

And so

(3) urban: $7 million - $5 million = $2 million

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
p, pop/rock
t, tropical
u, urban
Done as millions
system%28p%2Bt%2Bu=21%2Cp=2%28t%2Bu%29%2Cp=t%2B9%29

Second Equation:
t%2Bu=p%2F2

Substitute for t%2Bu in the total revenue, First equation:
p%2Bp%2F2=21
2p%2Bp=42
3p=42
highlight%28p=14%29
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t=p-9
t=14-9
highlight%28t=5%29
-
2t%2B2u=p
u=%28p-2t%29%2F2
u=%2814-2%2A5%29%2F2
highlight%28u=2%29

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SUMMARY
p, pop/rock, 14 million
t, tropical, 5 million
u, urban, 2 million