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Math Help - How do you set up the equation?

  1. #1
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    Arrow How do you set up the equation?

    Ok, So a farmer makes .06$ profit on each pound of potatoes he makes. He also makes .08 $ profit on each pound of carrots he makes. He makes twice as much potatoes than carrots. The total amount of profit is 24,000$. How many carrots and how many potatoes will he grow?

    If you can can you give me the answer and more importantly show me how you did it
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  2. #2
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    let P = pounds of potatoes

    C = pounds of carrots

    a farmer makes .06$ profit on each pound of potatoes he makes. He also makes .08 $ profit on each pound of carrots he makes ... total amount of profit is 24,000$
    P(.06) + C(.08) = 24000

    He makes twice as much potatoes than carrots.
    P = 2C

    solve the system of equations for P and C.
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  3. #3
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    Skeeter, is this also a possible way?

    06(2x) + .08x = 24,000 x = number of vegetable together

    so it becomes, .12x + .08x ; .2x = 24,000

    x = 120000

    and then,

    2x + x = 120000

    and solve
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  4. #4
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    fine, except at the end. (x is still pounds of carrots)

    x = 120000
    2x = 240000

    total = 3x = 360000
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