Mathematics

Question

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?

1 Answer

  • 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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