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21 June, 21:19

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.3 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4403 MB. How many downloads of the high-quality version were there?

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  1. 21 June, 21:48
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    770 high-quality songs were downloaded

    Step-by-step explanation:

    A web music store offerst two versions:

    Standard Version = 2.1 MB High-Quality Version = 4.3MB

    There were 1290 for a total download size of 4403MB.

    According to the information above, we have the following system of equations:

    A + B = 1290

    2.1A + 4.3B = 4403

    Where 'A' referst to the number of Standard songs and 'B' refers to the number of High Quality songs.

    Solving the sistem of equations we get that:

    A + B = 1290 ⇒ A = 1290 - B

    2.1A + 4.3B = 4403 ⇒ 2.1 (1290 - B) + 4.3B = 4403

    ⇒ 2709 - 2.1B + 4.3B = 4403 ⇒ 2.2B = 1694 ⇒ B=770

    Now, let's find the value of 'A':

    A + B = 1290 ⇒ A = 1290 - 770 ⇒ A = 520.

    Therefore, 770 high-quality songs were downloaded.
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