Answer:
Regional = 32 million
Pop/rock = 18 million
Tropical = 8 million
Explanation:
Given that
Total sales of the 3 categories = 58 million.
Let a denote regional
b denote pop/rock
c denote tropical
Thus
a + b + c = 58 million
From the question
a = 4c (regional 4 times tropical). equation 2.
Also, pop/rock music brought in $10 million more than tropical music
Thus,
b = c + 10. equation 3.
By eliminating a and b, put equation 2 and 3 in 1
We have
a + b + c = 58
4c + c + 10 + c = 58.
Collect like terms,
6c = 58 - 10
c = 48 ÷ 6
c = 8
Thus, tropical music = 8 million.
Recall that,
a = 4c
Thus
a = 4 × 8
= 32.
Therefore regional music = 32 million.
Again, recall that,
b = c + 10
Thus, b = 8 + 10
= 18
Therefore, pop/rock = 18 million.
8 + 18 + 32 = 58
Answer: Tropical Music sales = $ 8000 000
Explanation:
Total digital sales = $58000 000
Regional Music sales = 4 x tropical Music sales
Pop/rock music sales = Tropical Music sales + 10 000 000
Let Tropical Music sales be y
Total sales = Regional sales + Tropical sales + Pop/rock sales
58000 000 = 4y + y + (y+10000000)
58000 000 = 6y + 10000000
6y = 58000 000 - 10000000
y = 48000 000/6 = 8000 000
Tropical Music sales = $ 8000 000
