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14 September, 20:22

A contractor wants to use 32 feet of moulding, cut into 3 pieces, to trim the sides and top of a garage door. The long piece is 1 foot longer than 3 times the length of each shorter piece. Find the length of each piece.

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  1. 14 September, 20:35
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    Let ...

    s-length of shorter piece

    l-length of longer piece

    Make equations.

    l+2s=32

    l=3s

    Use substitution to solve system of equations.

    l+2s=32

    3s+2s=32

    5s=32

    s=6.4 ft

    l=3s

    l=3 (6.4)

    l=19.2 ft

    answers: 6.4 and 19.2 ft
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