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?
Accepted Solution
A:
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.