SOLUTION: A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.8 MB. Yesterday, the high

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.8 MB. Yesterday, the high      Log On


   

Question 1002002: A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.8 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4991 MB. How many downloads of the standard version were there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = download size for the standard versions
+4991+-+x+ = download size for high quality versions
+4%2A4.8+=+19.2+ = downloads of high quality versions
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+2.5+%2F+19.2+=+x+%2F+%28+4991+-+x+%29+
+2.5%2A%28+4991+-+x+%29+=+x%2A19.2+
+12477.5++-+2.5x+=+19.2x+
+21.7x+=+12477.5+
+x+=+575+
there were 575 downloads of the standard version
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check:
+2.5+%2F+19.2+=+x+%2F+%28+4991+-+x+%29+
+2.5+%2F+19.2+=+575+%2F+%28+4991+-+575+%29+
+2.5+%2F+19.2+=+575+%2F+4416+
+.13021+=+.13021+
OK