SOLUTION: Formulate but do not solve the problem.
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (including seeds
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Question 699323: Formulate but do not solve the problem.
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (including seeds and labor) is $44 and $28 per acre, respectively. Jacob Johnson has $17,200 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 and y denote the number of acres of corn and wheat, respectively.)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
He should plant 200 acres of corn
and 300 acres of wheat
--------------------
check:
(2)
(2)
(2)
OK
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