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A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, there were 1020 downloads of the song, for a total download size of 2996 MB. How many downloads of the high-quality version were there?

Respuesta :

alinakincsem

Answer:

There were 250 high quality version downloads.

Step-by-step explanation:

Assuming x to be the number of downloads of the high quality version.

Then,

the number of downloads of the standard version = 1020 - x .

Combining the number of downloads for both the standard version and the high quality version to get:

[tex]4.9x+2.3(1020-x)=2996[/tex]

[tex]4.9x+2346-2.3x=2996[/tex]

[tex]4.9x-2.3x=2996-2346[/tex]

[tex]2.6x=650[/tex]

[tex]x=250[/tex]

Therefore, there were 250 of the downloads that were high quality.

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