please solve the third word problem

Discussion in 'Calculator Requests' started by barbie, Feb 28, 2017.

  1. barbie

    barbie New Member

    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
    4.7
    MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was
    4200
    MB. How many downloads of the standard version were there?
     

  2. math_celebrity

    math_celebrity Administrator Staff Member

    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
    4.7
    MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was
    4200
    MB. How many downloads of the standard version were there?

    Let s be the standard version downloads and h be the high quality downloads. We have two equations:
    1. h = 3s
    2. 2.7s + 4.7h = 4200

    Substitute (1) into (2)
    2.7s + 4.7(3s) = 4200
    2.7s + 14.1s = 4200

    Combine like terms:
    16.8s = 4200

    Divide each side by 16.8
    s = 250
     

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