SOLUTION: 1. formulate but DO NOT solve the problem. the johnson farm has 600 acres of lad allotted for cultivating corn and wheat. the cost of cultivating corn and wheat (including seeds a

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Question 729622: 1. formulate but DO NOT solve the problem.
the johnson farm has 600 acres of lad allotted for cultivating corn and wheat. the cost of cultivating corn and wheat (including seeds and labor) is $51 and $25/acre, respectively. Jacob Johnson has $20,200 available for cultivating these crops. if he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant? Let X be the number of acres allotted for cultivating corn
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53421) About Me  (Show Source):
You can put this solution on YOUR website!
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1. formulate but DO NOT solve the problem.
the johnson farm has 600 acres of lad allotted for cultivating corn and wheat.
the cost of cultivating corn and wheat (including seeds and labor) is $51 and $25/acre, respectively.
Jacob Johnson has $20,200 available for cultivating these crops.
if he wishes to use all the allotted land and his entire budget for cultivating these two crops,
how many acres of each crop should he plant? Let X be the number of acres allotted for cultivating corn
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I will strictly follow the instruction: "formulate but DO NOT solve". 


X acres are for corn and 600-X acres are for wheat.


Write the money equation

    51X + 25*(600-X) = 20200  dollars.


It is a single equation, which describes this problem.


And it is a single equation to solve.

Explained.