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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. Use X to represent the number of acres of corn planted and y to represent the number of wheat planted. How many acres of each crop should the farmer plant?

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Answer:

x + y = 180

x = 3y

acres of corn = 135 acres

acres of wheat = 45 acres

Explanation:

Given that:

Total acres = 180

Acres of corn (x)

Acres of wheat (y)

x = 3y

x + y = 180 - - - (1)

x = 3y - - - - - - - (2)

From x =3y

3y + y = 180

4y = 180

y = 180 / 4

y = 45

x = 3y

x = 3(45)

x = 135

Hence ;

acres of corn = 135 acres

acres of wheat = 45 acres

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