Question

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 represents this situation. Use x to represent the number of aces of corn planted and y to represent the number of acres of wheat planted. How many acres of each crop should the farmer plant?

Answer 1

3y=x and x+y=180
So you need to put 3y in for x, that gives you (3y)+y=180 or 4y=180. Then you divide 180 by 4 to get y=45 aces. After that you plug 45 in for y, 3(45)=x. This gives you x=135 aces.

Answer 2

The corn should be in 135 acres and wheat in 45 acres.

Explanation:

Consider the provided information.

It is given that x represents the number of aces of corn planted and y to represent the number of acres of wheat planted.

x is the number of acres of corn.

y is the number of acres of wheat.

Total is 180 acres

x+y=180

He wants to plant 3 times as many corn as wheat

This can be written as:

x=3y

Substitute the value of the x in x+y=180

x+y=180

3y+y=180

4y=180

y=45

Thus, the wheat should be plant in 45 acre.

Now find the value of x by substituting the value of y in x=3y

x=3(45)

x=135

The corn should be plant in 135 acre.

Hence, the corn should be in 135 acres and wheat in 45 acres.