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23 May, 04:54

One of the dog treats in Shelley's shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be? 1.2 inches 1.8 inches 2.3 inches 3.2 inches

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  1. 23 May, 05:48
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    Given:

    Original dog treat: 8 inches long, 3.2 inches wide.

    Miniature dog treat: 3 inches long,? wide

    We simply do cross multiplication of its proportion:

    Length to its width.

    Original treat: 8/3.2

    Miniature treat: 3/x

    8/3.2 = 3/x

    Cross multiply:

    8 * x = 3.2 * 3

    8x = 9.6

    Find the value of x

    x = 9.6/8

    x = 1.2

    The width of the miniature dog treat is 1.2 inches.

    To check:

    original treat: 8/3.2 = 2.5

    miniature treat: 3/1.2 = 2.5

    or:

    8/3.2 = 3/1.2

    8 * 1.2 = 3.2 * 3

    9.6 = 9.6
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