A farmer plants corn and wheat on an 180acre farm.The farmer wants to plant three times as many acres of corn as wheat.How many acres of each crop should the f
Mathematics
DennisBlake
Question
A farmer plants corn and wheat on an 180acre farm.The farmer wants to plant three times as many acres of corn as wheat.How many acres of each crop should the farmer plant?
1 Answer

1. User Answers soooobored
let x be the number of acres of corn
let y be the number of acres of wheat
corn and wheat will take up 180 acres
x+y=180
3 times corn than wheat
x=3y
2 equations 2 unknown
x+y=180
x=3y
solving using substitution
x+y=180
substitute for x
x+y=180
(3y)+y=180
3y+y=180
4y=180
divide by 4 to both sides
4/4 y = 180/4
y=45
45 acres of wheat planted
using 2nd equation to find x
x=3y
x=3(45)
x=135
135 acres of corn planted