SOLUTION: Please help me solve this. I have tried and tried but everything I do turns out wrong!! Janet and Eric have decided to plant tomatoes and corn on their farm. They can use up to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this. I have tried and tried but everything I do turns out wrong!! Janet and Eric have decided to plant tomatoes and corn on their farm. They can use up to       Log On


   

Question 960347: Please help me solve this. I have tried and tried but everything I do turns out wrong!!
Janet and Eric have decided to plant tomatoes and corn on their farm. They can use up to 20 acres of land. Since Janet really likes corn, they have decided to plant more than twice as many acres of corn as tomatoes. Eric would like to have a minimum of 5 acres of tomatoes.
Please write a system of inequalities.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
c, how many acres of corn;
t, how many acres of tomatos.

Limit on how many planted acres is up to 20 acres.
c%2Bt=20.
Maybe this should really be, c%2Bt%3C=20.

Janet likes corn.
c%3E=2t, according to the description part.

t%3E=5, what Eric wants.

The description really does not give equations, but instead, inequalities. They are all linear inequalities. You could have chosen x and y for the acres of each plant; but my choice was c and t, for better telling what each variable means. You did not ask to solve for how much acreage of tomatos and corn, but only wanted the system. That as a summary is this:
system%28c%2Bt%3C=20%2Cc%3E=2t%2Ct%3E=5%29.

You could graph this on a cartesian system and find a region of points satisfying the system.