A web music store offers two versions of a popular song. the size of the standard version is 2.3 mb. the size of the high quality version is 4.8 mb. yesterday there were 1460 downloads of the song for a total of download size of 5458 mb how many downloads of the high quality version where there

Respuesta :

The number of downloads of the high quality version that was made was 600.

Calculations and Parameters

This is a great system of equations problem

If we call the number of standard version downloads (S)  

The high quality downloads (H).

  • For number of songs downloaded: S + H = 910
  • For download size: 2.8(S) + 4.4(H) = 3044.

To find S, we can rearrange the first statement to H = 910 - S,

Then we would substitute (910 - S) wherever you see an H in the second equation so that you have only S's in your equation.

Thus:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

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