Question 1181251
.
A farmer grows only pumpkins and corn on her 420 -acre farm. 
This year she wants to plant 250 more acres of corn than pumpkins. 
How many acres of each crop does the farmer need to plant?
~~~~~~~~~~~~~~~~~~~~~~~


<pre>
Let P be the pumpkins area (in acres).

Then the corn area is (P+250) acres, according to the condition.



With it, write the total area equation as you read the text

    P + (P+250) = 420  acres.


Simplify and find P

    2P = 420 - 250 = 170

     P             = 170/2 = 85.


<U>ANSWER</U>.  85 acres of pumpkins and 85 + 250 = 335 acres of corn.


<U>CHECK</U>.   The total area is  85 + 335 = 420 acres.    ! Correct !
</pre>


Solved.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;There is another way to solve the problem.



<pre>
You can write the system of two equations

    C + P = 420

    C - P = 250.


To solve it, add the equations.


Doing this way to the end, you will get the same answer.
</pre>


Solved &nbsp;&nbsp;(in two ways).



Happy learning &nbsp;(!)