Question

Please help!

A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, there were 1020 downloads of the song, for a total download size of 2996 MB. How many downloads of the high-quality version were there?

Answer 1

There were 250 high quality version downloads.

Explanation:

Assuming x to be the number of downloads of the high quality version.

Then,

the number of downloads of the standard version = 1020 - x .

Combining the number of downloads for both the standard version and the high quality version to get:

`4.9x+2.3(1020-x)=2996`

`4.9x+2346-2.3x=2996`

`4.9x-2.3x=2996-2346`

`2.6x=650`

`x=250`

Therefore, there were 250 of the downloads that were high quality.