Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 950 downloads of the song, for a total download size of 3284 MB. How many downloads of the standard version were there?

Number of standard version downloads: ?

Answer 1

560 downloads of standard version downloads.

Explanation:

Let there were number of standard version of downloads = x

and number of high quality version of downloads = y

There were total 950 downloads of the both type of songs.

x + y = 950 -----(1)

Size of the standard version songs = 2.8 MB

and the size of the high quality version songs = 4.4 MB

Total download size = 3284 MB

2.8x + 4.4y = 3284

7x + 11y = 8210 -----(2)

Multiply equation (1) by 11 (-) equation (2)

(11x + 11y) - (7x + 11y) = 10450 - 8210

4x = 2240

x = 560

There were 560 downloads of the standard version downloads.