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    joycelani's Avatar
    joycelani Posts: 1, Reputation: 1
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    #1

    Dec 16, 2008, 10:45 PM
    algebraic operations and equations
    Here's my question from my Gr. 9 math homework:
    Use an equation to solve this problem:
    1 kg of peanuts costs $4
    1 kg of pecans costs $22
    You want 23 kg of mixed nuts worth $236. How many kilograms of each type of nut should you use?

    I know the final answer to the question, but I have no idea how to make an algebraic equation for it. HELP!
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 17, 2008, 04:06 PM
    Let x = kg of peanuts.

    Let y = kg of pecans.

    For the cost we have:

    4x+22y=236

    For the total kg we have:

    x+y=23

    There are the two equations. Solve away.
    ceal's Avatar
    ceal Posts: 1, Reputation: 1
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    #3

    Dec 30, 2008, 10:26 PM
    let x = mass of nuts
    pecans= 23 -x
    for the cost we have:
    $4x for nuts
    $506-22x for pecants
    the equation is:
    4x+506-22x=236
    -18x = -270
    x = 15
    the mass of nut is 15kg and pecant is 8kg:)
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