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 this situation. How many acres of each crop should the farmer plant?

Answer 1

C=number of acres of corn
w=number of acres of wheat

total is 180 acres

c+w=180

wants to plant 3 times as many corn as wheat
c=3w

subsitute 3w for c in other

c+w=180
3w+w=180
4w=180
divide boh sides by 4
w=45

sub back
c=3w
c=3(45)
c=135

135 acres of corn and 45 acres of wheat