math

Please show me how to solve using elimination: It takes a florist 3 h 15 min to make 3 small centerpieces and 3 large centerpieces. It takes 5 h 20 min to make 4 small center pieces and 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.

asked by Jane
  1. 3.25=combinedrate= 3S+3L
    where S and L are the rates for each.

    5.33=4S+7L

    Now you have two equations.
    5.33=4S+7L
    3.25=3S+3L

    ok, lets eliminate S.
    multiply the top equation by 3, the bottom by 4
    16=12S+21L
    13=12S+12L
    subtract the second equation from the first.
    3=9L
    L= 1/3 or rate is one large per hour
    S=you figure it from either equation.

    posted by bobpursley

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