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 $28 million. Tropical music brought in twice as much as urban music, and pop/rock music brought in $4 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

Let p = pop/rock revenues, t = tropical revenues, and u = urban revenues, in millions of dollars.

p + t + u= 28 --> equation 1

t = 2u --> equation 2

p = t + u + 4  --> equation 3

Now Solving the equations:-

Put, equ.3 to equ.1,

( T + U + 4 ) + T + U = 28

2T + 2U = 24

2( T + U ) = 24

T + U = 12 --> equation 4

Put equation 2 to equation 4,

2U + U = 12

3U = 12

U = 4

Now put value of U in equation 2,

T = 2 × 4

T = 8

Now put value of U and T in equation 1,

R + 8 + 4 = 28

R = 16

Solution:

Pop (or) Rock = $16 Million

Tropical = $8 Million

Urban = $4 Million