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9 August, 15:16

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 4.6 MB. Yesterday, there were 800 downloads of the song, for a total download size of 3262 MB. How many downloads of the standard version were there?

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  1. 9 August, 15:41
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    There is 220 downloads of the standard version.

    Step-by-step explanation:

    Let us assume that there is a download of x numbers of the standard version and y number of downloads of high-quality versions.

    Given that, x + y = 800 ... (1) and

    2.7x + 4.6y = 3262 ... (2)

    {Since, that each standard version is of 2.7 MB and each high-quality version is of 4.6 MB and there is download of 3262 MB in total}

    Now. solving (1) and (2) we get,

    4.6y - 2.7y = 3262 - (2.7 * 800)

    ⇒ 1.9y = 1102

    ⇒ y = 580

    Now, from equation (1), x = 800 - 580 = 220.

    Therefore, there are 220 downloads of the standard version. (Answer)
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