Question

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 $27 million. Tropical music brought in twice as much as urban music, and pop/rock music brought in $3 million more than the others combined. How much revenue was earned from digital sales in each of the three categories?

pop/rock music $ million
tropical music $ million
urban Latin music $ million

Answer 1

tropic music = $8 million

and

urban latin music = $4 million

and

pop/rock music = $15 million

Explanation:

given data

total revenues = $27 million

to find out

How much revenue was earned from digital sales in each of the three categories pop/rock , tropical and urban Latin music

solution

we consider here sale by pop/rock = P

and tropical T = x

and then urban Latin U =
`(x)/(2)`

then P = x +
`(x)/(2)` + 3

so we have given

P + T +U = $27 million ........................1

x+
`(x)/(2)` + x +
`(x)/(2)` + 3 = 27

2x + x + 2x+ x+ 6 = 54

x = 8

so

tropic music = $8 million

and

urban latin music = $4 million

and

pop/rock music = 8 +
`(8)/(2)` + 3 = $15 million