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    Smurfsnot2604's Avatar
    Smurfsnot2604 Posts: 6, Reputation: 1
    New Member

    Jul 15, 2009, 02:20 PM
    system of equations
    A farmer has 1,200 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre to grow corn, $60 for wheat, and $50 for soybeans. Because of market demand he will grow twice as many acres of wheat as of corn. He has allocated $63,750 for the cost of growing his crops. How many acres of each crop should he plant?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member

    Jul 15, 2009, 03:01 PM
    Let c, w, and s be the acres of the respective crops to be planted.

    c=corn, w=wheat, s=soybean

    We are told he has 1200 acres to plant.

    Therefore, c+w+s=1200

    One condition is that there is twice as much wheat as corn, 2c=w

    The final equation is the cost, 45c+60w+50s=63,750

    Now, you have three equations and three unknowns.

    Solve using substitution or elimination. The condition 2c=w helps simplify it down to two equations easy enough.

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