SOLUTION: A farmer can sell 50 bushels of beans and 100 bushels of corn for $810, or he can sell 20 bushels of beans and 205 bushels of corn for $868.50. What is the selling price of beans a
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Question 1008629: A farmer can sell 50 bushels of beans and 100 bushels of corn for $810, or he can sell 20 bushels of beans and 205 bushels of corn for $868.50. What is the selling price of beans and corn per bushel? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Call the prices of bushels of beans and corn, b and c. Then we have
50b + 100c = 810 and
20b + 205c = 868.5
Multiply the top one by 2 and the bottom by five and subtract them and get
100b + 200c = 1620
-(100b + 1025c = 4342.5)
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-825c = -2722.5
c = $3.30 per bushel corn
Substituting we get
50b + 100(3.30) = 810
50b + 330 = 810
50b = 480
b = $9.60 per bushel beans
