Question

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $5.45 to download 2 individual songs and 3 albums. Person B pays $8.41 to download 5 individual songs and 4 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?

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: