Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.1 MB. Yesterday, there were 1490 downloads of the song, for a total download size of 5227 MB. How many downloads of the high-quality version were there?

Answer 1

the two equations are: 2.7s + 4.1h = 5227 and s + h = 1490 substitute: 2.7(-1h + 1490) + 4.1h = 5227 distribute: -2.7h + 4023 + 4.1h= 5227 add like terms: 1.4h + 4023 = 5227 subtract 4023: 1.4h = 1204 divide: h = 860 this means that there are 860 downloads of the high-quality version