SOLUTION: A farmer has 540 sq meters of land for raising cabbages and carrots. He wants to plant fewer square meters in carrots than cabbages (112 sq meters, to be exact). How many square me
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Question 149201: A farmer has 540 sq meters of land for raising cabbages and carrots. He wants to plant fewer square meters in carrots than cabbages (112 sq meters, to be exact). How many square meters of each should he plant?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A farmer has 540 sq meters of land for raising cabbages and carrots. He wants to plant fewer square meters in carrots than cabbages (112 sq meters, to be exact). How many square meters of each should he plant?
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Let x = plant area of cabbages
then from "He wants to plant fewer square meters in carrots than cabbages (112 sq meters, to be exact)" we have:
x-112 = plant area of carrots
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We get our equation from the sentence: "A farmer has 540 sq meters of land for raising cabbages and carrots."
x + (x-112) = 540
2x - 112 = 540
2x = 652
x = 326 sq meters (plant area of cabbages)
326 - 112 = 214 sq meters (plant area of carrots)
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