5 watermelons 6 cantaloupes cost $54. 4 watermelons and 8 cantaloupes $56. how much is a cantaloupe

Question

5 watermelons 6 cantaloupes cost $54. 4 watermelons and 8 cantaloupes $56. how much is a cantaloupe

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Kinsley 3 weeks 2021-09-27T06:20:20+00:00 1 Answer 0

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    2021-09-27T06:21:34+00:00

    Answer:

    A cantaloupe costs $4

    Step-by-step explanation:

    Watermelons = W

    Cantaloupes = C

    Write given statements as equations

    5W + 6C = 54

    4W + 8C = 56

    Simplify the second equation

    4W + 8C = 56

    Subtract 8C from both sides of the equation

    4W = 56 – 8C

    Divide both sides of the equation by 4

    W = 14 – 2C

    Substitute into second equation

    5W + 6C = 54

    5(14 – 2C) + 6C = 54

    Multiply 5(14 – 2C)

    70 – 10C + 6C = 54

    Add -10C + 6C

    70 – 4C = 54

    Add 4C to both sides of the equation

    70 = 54 + 4C

    Subtract 54 from both sides of the equation

    16 = 4C

    Divide both sides of the equation by 4

    C = 4

    A cantaloupe costs $4

    5W + 6(4) = 54

    Multiply 6(4)

    5W + 24 = 54

    Subtract 24 from both sides of the equation

    5W = 30

    Divide both sides of the equation by 5

    W = 6

    A cantaloupe costs $4

    A watermelon costs $6

    Hope this helps 🙂

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