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11 September, 13:00

Mr. Wong cuts a coil of wire into two pieces in the ratio of 3:4. The length of the longer piece is 32 centimeters. What is the total length of the coil of wire?

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Answers (2)
  1. 11 September, 13:13
    0
    56 cm

    Step-by-step explanation:

    The ratio of the lengths of the pieces is 3:4.

    The longer piece is 32 cm.

    We set up a proportion to find the length of the smaller piece.

    Let the length of the smaller piece be x.

    3 is to 4 as x is to 32

    3/4 = x/32

    4x = 3 * 32

    4x = 96

    x = 24

    The smaller piece is 24 cm.

    24 cm + 32 cm = 56 cm
  2. 11 September, 13:26
    0
    Answer: 56 centimeters long.

    Step-by-step explanation:

    You can find the other value in a ratio by dividing the value given by its corresponding value in the ratio, then multiplying the quotient by the other value in the ratio.

    32 is the longer piece, and 4 is longer than 3.

    32 / 4 = 8.

    8 * 3 = 24

    The shorter piece is 24 centimeters long.

    The total length of the coil is 24 + 32, or 56 centimeters long.
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