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 represent the situation. Use x to represent corn and y to represent wheat.

Answer 1

x + y = 180

and,

x = 3y

Explanation:

Data provided in the question:

Total area of the farm = 180 acre

x represents the acre in which corn is planted

y represents the acre in which wheat is planted

Thus,

Area of corn + Area of wheat = Total area of farm

x + y = 180 ................. (1)

also,

From the statement, farmer wants to plant three times as many acres of corn as wheat

we can conclude

Area of corn = 3 times the area of wheat

or

x = 3y ................(2)

So, we have system of linear equations that represent the situation as

x + y = 180

and,

x = 3y