A farmer plants corn and wheat on a 180 acre farm.He wants to plant three times as many acres of corn as wheat.

BolkowN

BolkowN

Answered question

2021-09-07

A farmer plants corn and wheat on a 180 acre farm. He wants to plant three times as many acres of corn as wheat. We have to write the system of equation for the situation and solve them.

Answer & Explanation

Mayme

Mayme

Skilled2021-09-08Added 103 answers

Number of acres of corn planted =x
Number of acres of wheat planted =y
Then
x=3y (using farmer wants to plant three times as many acres of corn as wheat)
x+y=180 (using farmer plants corn and wheat on a 180 acre farm )
So,
The system of equation is
x=3y and x+y=180

Answer
Solving system of equation x=3y and x+y=180

Substituting x=3y in x+y=180

3y+y=180

4y=180

y=45

Substituting y=45 in x=3y

x=3×45

x=135

Step 4 So, Number of acres of corn planted =x=135 acres Number of acres of wheat planted =y=45 acres

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?