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14 October, 08:15

gerad has a wooden board 11 feet long, he wants to cut it into 2 pieces so that the longer piece is 4 feet less than 4 times the length of the shorter piece, how long will each piece be

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  1. 14 October, 08:34
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    Shorter piece is 3 ft, longer piece is 8 ft

    Step-by-step explanation:

    Set up two equations ...

    Let x be the length of the shorter piece, and let y be the length of the longer piece.

    The whole board is 11 feet long, so

    x + y = 11

    He wants the longer piece to be 4 feet less than 4 times the length of the shorter board, so

    y = 4x - 4

    Substitute the second equation into the first equation ...

    x + 4x - 4 = 11 (y becomes 4x - 4)

    Now solve for x

    5x = 15 (combine like terms, add 4 to both sides)

    x = 3 (divide both sides by 5)

    Now substitute 3 in for x in either equation and solve for y ...

    y = 4 (3) - 4

    y = 12 - 4

    y = 8
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