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A web music store offers two versions of a popular song. the size of the standard version is 2.2 megabytes (mb). the size of the high-quality version is 4.1 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 4836 mb. how many downloads of the standard version were there?

Respuesta :

W0lf93

260  
I'll use the variable x as the number of standard downloads. Since the high quality song was downloaded 4 times as much, that will be 4x. And the sum of the number of downloads of each type multiplied by their sizes equals 4836. So the equation becomes:
 2.2x + 4.1(4x) = 4836 
 Now we just need to solve for x.
 2.2x + 4.1(4x) = 4836
 2.2x + 16.4x = 4836
 18.6x = 4836
 x = 260 
 So there were 260 downloads of the standard version.

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