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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?

Verified Answer :

TortureMan

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

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