SOLUTION: A miller wishes to make 140 bushels of a mixture of corn and oats to sell at $1.20 a bushel. If a bushel of oats is worth 80 cents and a bushel of corn is worth $1.50, how many bus

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Question 358029: A miller wishes to make 140 bushels of a mixture of corn and oats to sell at $1.20 a bushel. If a bushel of oats is worth 80 cents and a bushel of corn is worth $1.50, how many bushels of each should he use?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x be the number of bushels of the 1.50/bushel corn. Then (140-x) would be the number of bushels for the 080/bushel corn
1.50 x + .80(140-x) = 1.20*140
1.50x + .80*140 -.8x = 1.20*140
.7x = .4*140
x = 80 bushels of the 1.50/bushel corn
(140-x) = 60 bushels of the .80/bushel corn
check your answer
1.5*80 + .80*60 = 120 + 48 =168
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