Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.6 MB. Yesterday, there were 740 downloads of the song, for a total download size of 2204 MB. How many downloads of the standard version were there? Number of standard version downloads:

Answer 1

Let s and h be standard and high-quality downloads, respectively. Then:
s+h=740
2.1s+4.6h=2204
So:
2.1s+2.1h=1554
2.1s+4.6h=2204
2.5h=650
h=260
s=480
There were 480 standard downloads, and 260 high-quality downloads. ☺☺☺☺