In 2000, total revenues from sales of recorded rock, rap, and classical music amounted to $12.0 billion. Rock music brought in twice as much revenue as rap music and 600% the revenue of classical music. How much revenues were earned in each of the three categories of recorded music ?
A)Revenues from sales of recorded rock: 7.2 Revenues from sales of recorded rap: 3.7
Revenues from sales of recorded classical music: 1.2
B) Revenues from sales of recorded rock: 7.2
Revenues from sales of recorded rap: 3.6
Revenues from sales of recorded classical music: 1.2
C) Revenues from sales of recorded rock: 1.2
Revenues from sales of recorded rap: 7.2
Revenues from sales of recorded classical music: 3.6
D) Revenues from sales of recorded rock: 7.1
Revenues from sales of recorded rap: 3.7
Revenues from sales of recorded classical music: 1.2
E) Revenues from sales of recorded rock: 3.6
Revenues from sales of recorded rap: 7.2
Revenues from sales of recorded classical music: 1.2

Question

In 2000, total revenues from sales of recorded rock, rap, and classical music amounted to $12.0 billion. Rock music brought in twice as much revenue as rap music and 600% the revenue of classical music. How much revenues were earned in each of the three categories of recorded music  ?
A)Revenues from sales of recorded rock: 7.2 Revenues from sales of recorded rap: 3.7
Revenues from sales of recorded classical music: 1.2
B) Revenues from sales of recorded rock: 7.2
Revenues from sales of recorded rap: 3.6
Revenues from sales of recorded classical music: 1.2
C) Revenues from sales of recorded rock: 1.2
Revenues from sales of recorded rap: 7.2
Revenues from sales of recorded classical music: 3.6
D) Revenues from sales of recorded rock: 7.1
Revenues from sales of recorded rap: 3.7
Revenues from sales of recorded classical music: 1.2
E) Revenues from sales of recorded rock: 3.6
Revenues from sales of recorded rap: 7.2
Revenues from sales of recorded classical music: 1.2

Quizplus · Accepted Answer

Let's denote the revenue from classical music as C. According to the problem, rock music brought in 600% of the revenue of classical, which means rock music revenue is 6C. Rap music brought in half of what rock music did, so rap music revenue is 3C. The total revenue from all three categories is 12 billion, so we have the equation: C + 6C + 3C = 12 billion, which simplifies to 10C = 12 billion. Solving for C gives us C = 1.2 billion. Therefore, classical music revenue is 1.2 billion, rock music revenue is 7.2 billion (6 times 1.2 billion), and rap music revenue is 3.6 billion (3 times 1.2 billion).

In 2000, Total Revenues from Sales of Recorded Rock, Rap