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 the 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

540

Explanation:

x = 3

y = 177

x + y = 180

3 + 177 = 180

180 x 3 = 540

Answer 2

X + Y = 180

X = 3Y

Acres of corn: 135

Acres of wheat: 45

Explanation:

X = number of acres of corn

Y = number of acres of wheat

"A farmer plants corn and wheat on a 180-acre farm."

X + Y = 180

"The farmer wants to plant three times as many acres of corn as wheat."

X = 3Y

X + Y = 180

X = 3Y

3Y + Y = 180

4Y = 180

Y = 45

X = 3Y = 3(45) = 135

X = 135

Acres of corn: 135

Acres of wheat: 45