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2 votes
3. A website allows users to download individual songs or whole albums.

All songs cost the same price to download. All albums cost the same price
to download, Karim pays $30 to download 5 songs and 2 albums.
Kimberlyn pays $26 for download 3 songs and 2 albums. What is the cost
to download 1 song? 1 album?

User Fromanator
by
5.3k points

1 Answer

4 votes

Answer:

Each song costs $2 and each album costs $10.

Explanation:

Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:

5X + 2Y = 30

3X + 2Y = 26

(30 - 26) / (5 - 3) = X

4/2 = X

2 = X

Therefore, each song has a cost of $ 2.

Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:

5x2 + 2Y = 30

10 + 2Y = 30

2Y = 30 - 10

2Y = 20

Y = 20/2

Y = 10

Therefore, each album has a cost of $ 10.

User DannyB
by
4.4k points