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A farmer has 1,070 acres of land on which he grows corn, wheat, and soybeans. It...

A farmer has 1,070 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $56,800 for the cost of growing his crops. How many acres of each crop should he plant?

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Answer #1

let x acres of corn

y acres of wheat

z acres of soybeans should be planted

x + y + z = 1070

45x + 60y + 50z = 56800

y = 2x

so, he must plant 220 acres of corn

440 acres of wheat

410 acres of soybeans

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