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16 January, 01:48

A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. Write a system of linear equations that represent this situation. How many acres of each crop should the farmer plant?

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  1. 16 January, 02:17
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    C=number of acres of corn

    w=number of acres of wheat

    total is 180 acres

    c+w=180

    wants to plant 3 times as many corn as wheat

    c=3w

    subsitute 3w for c in other

    c+w=180

    3w+w=180

    4w=180

    divide boh sides by 4

    w=45

    sub back

    c=3w

    c=3 (45)

    c=135

    135 acres of corn and 45 acres of wheat
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