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31 May, 11:37

A rope is cut into tree pieces, P, Q, and R. The lengths of the pieces are in the ratio 3 : 5 : 7. If the rope is 33 feet 9 inches long, find the lengths of P, Q, and R.

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  1. 31 May, 11:48
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    The answer to your question is:

    Step-by-step explanation:

    ropes P, Q, R

    ratio 3 : 5 : 7

    Rope 33 ft 9 inches

    Process

    1. - Convert units to inches

    33 ft = 396 inches

    Total length of the rope = 396 + 9

    = 405 inches

    2. - Count the number of sections

    3 + 5 + 7 = 15

    3. - Divide the length by the number of sections

    405/15 = 27

    Each section has a length of 27 inches

    4. - Calculate the length of each piece

    P = 3 x 27 = 81 in

    Q = 5 x 27 = 135 in

    R = 7 x 27 = 189 in
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