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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 a
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?
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Mathematics
3 years
2021-09-05T16:14:36+00:00
2021-09-05T16:14:36+00:00 1 Answers
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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: