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25 March, 20:37

A farmer plants corn and wheat on an 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. How many acres of each crop should the farmer plant?

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  1. 25 March, 21:10
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    Let x be the number of acres of corn

    let y be the number of acres of wheat

    corn and wheat will take up 180 acres

    x+y=180

    3 times corn than wheat

    x=3y

    2 equations 2 unknown

    x+y=180

    x=3y

    solving using substitution

    x+y=180

    substitute for x

    x+y=180

    (3y) + y=180

    3y+y=180

    4y=180

    divide by 4 to both sides

    4/4 y = 180/4

    y=45

    45 acres of wheat planted

    using 2nd equation to find x

    x=3y

    x=3 (45)

    x=135

    135 acres of corn planted
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