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It takes a florist 3h 15min to make 3 small centerpieces and 3 large cebterpieces. It takes 6h 20min to make 4 small centerpieces abd 7 large centerpieces. How long does it take to make each small centerpiece and each large centerpiece? Write and solve a system of equations to find your answer.

  • math -

    if the times required are x and y for small and large, respectively,

    3x+3y = 3 1/4 = 13/4
    4x+7y = 6 1/3 = 19/3

    clearing fractions, we have

    12x+12y = 13
    12x+21y = 19

    subtract top from bottom to get

    9y = 6
    y = 2/3

    so,
    small takes 25 min
    large takes 40 min

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