SOLUTION: 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 4.7 MB. Yesterday, there w

Algebra ->  Linear-equations -> SOLUTION: 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 4.7 MB. Yesterday, there w      Log On


   

Question 1202260: 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 4.7 MB. Yesterday, there were 1540 downloads of the song, for a total download size of 5478 MB. How many downloads of the high-quality version were there?
Answer by ikleyn(52824) About Me  (Show Source):
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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 4.7 MB. Yesterday, there were 1540 downloads of the song,
for a total download size of 5478 MB. How many downloads of the high-quality version were there?
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Let x be the number of downloads of the high-quality version.

Then the number of downloads of the other version was 1540-x.


Write the total volume of downloaded megabytes

    4.7x + 2.7*(1540-x) = 5478   megabytes.


Simplify and find x

    x = %285478+-+2.7%2A1540%29%2F%284.7-2.7%29 = 660.


ANSWER.  There were 660 downloads of the high-quality version.

Solved.