Question

A music website charges x​ dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 individual songs and 2 albums. Person B pays $33.39 to download 4 individual songs and 3 albums. How much does the website charge to download a song? an entire album?
Please help! I need an explanation!!

Answer 1

Answer:Amount charged for downloading individual songs = x dollars

Amount charged for downloading an entire album = y dollars

In respect to person A:

6x + 2y = 25.92

3x + y = 12.96

y = 12.96 – 3x

In respect to person B:

4x + 3y = 33.93

Putting the value of y from the first equation in the second, we get

4x + 3(12.96 – 3x) = 33.93

4x + 38.88 – 9x = 33.93

– 5x = – 4.95

x = 0.99 dollars

Putting the value of x in the first equation, we get

y = 12.96 – 3x

 = 12.96 – 2.97

 = 9.99 dollars

Step-by-step explanation: