Algebra

A farmer plans to plant 270 acres of his farm with wheat and soybeans. For every 2 acres of land planted with soybeans, the farmer wants to plant 7 acres of land with wheat. The farmer uses the following system of equations to determine how many acres of each crop he should plant.

w + s = 270
7s - 2w = 0
w is the number of acres planted with wheat, and s is the number of acres planted with soybeans.
How many acres should the farmer plant with soybeans?

I came up with 52
Is this correct?

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  1. easier way:
    the ratio of soybeans : wheat = 2 : 7

    let the number of acres of soybeans be 2x
    let the number of acres of wheat be 7x

    2x + 7x = 270
    9x = 270
    x = 30

    so acres of soybeans = 2(30) = 60
    acres of wheat = 7(30) = 210

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  2. 7(2+3x)+8

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