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Math Help - Solving systems of equations help

  1. #1
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    Solving systems of equations help

    There's a word problem I don't know how to solve. The answer is 70 soybeans, 30 corn, but I don't know how to get to that answer:

    "Mrs. Griffin wants to plant soybeans and corn on 100 acres of land. Soybeans require 6 hours of labor per acre, and corn requires 8 hours of labor per acre. If Mrs. Griffin has 660 hours available, how many acres of each crop should she plant?"
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  2. #2
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    Re: Solving systems of equations help

    Quote Originally Posted by guitarmatt View Post
    There's a word problem I don't know how to solve. The answer is 70 soybeans, 30 corn, <--- that is definitely wrong! 70 beans and 30 corns(?) are not worth 660 hours of work.
    but I don't know how to get to that answer:

    "Mrs. Griffin wants to plant soybeans and corn on 100 acres of land. Soybeans require 6 hours of labor per acre, and corn requires 8 hours of labor per acre. If Mrs. Griffin has 660 hours available, how many acres of each crop should she plant?"
    1. Let x denotes the area planted with beans and y the area planted with corn.

    2. According to the text you'll get:

    \left|\begin{array}{rcl}x+y&=&100 \\6x+8y&=&660 \end{array}\right.

    3. Solve for x and y.
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  3. #3
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    Re: Solving systems of equations help

    This sure doesn't belong in "calculus"!
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