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22 April, 16:36

the combined length of 3 pieces of a board is 147 inches. the lengths of the pieces are in the ratio 5:7:9. what is the difference in inches between the longest piece and the shortest piece?

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Answers (2)
  1. 22 April, 17:10
    0
    28 in
  2. 22 April, 18:21
    0
    28 inches

    Step-by-step explanation:

    The three pieces are in the ratio

    5:7:9

    Multiply each piece by x

    5x : 7x: 9x

    Add the pieces together

    5x+7x+9x = 147

    Combine like terms

    21x = 147

    Divide each side by 21

    21x/21 = 147/21

    x = 7

    The smallest piece is 5x = 5*7 = 35

    The largest piece is 9x = 9*7 = 63

    The difference is 63-35=28
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Home » Mathematics » the combined length of 3 pieces of a board is 147 inches. the lengths of the pieces are in the ratio 5:7:9. what is the difference in inches between the longest piece and the shortest piece?
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