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30 August, 03:53

A 30 foot board is cut into two pieces. how long is each piece if the second piece is 3 feet longer than twice the first piece

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Answers (2)
  1. 30 August, 04:11
    0
    First piece would be 9 feet, second would be 21.
  2. 30 August, 06:53
    0
    The first piece is 9 feet and the second piece is 21 feet. Explanation:

    We know that a 30 foot board is cut into two pieces and that the second piece is three feet longer than twice the first piece.

    Let the first piece = x

    Let the second piece = 2x + 3

    x + 2x + 3 = 30

    Combine like terms

    3x + 3 = 30

    Subtract 3 from both sides

    3x = 27

    Divide 3 from both sides and we get:

    x = 9

    The first piece is 9 feet and now we need to find the second piece.

    We can use the first piece to find the second piece.

    Substitute 9 for x:

    2 (9) + 3

    18 + 3 = 21

    So the second piece is 21 feet.

    21 + 9 = 30 feet
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