SOLUTION: The farm has 450 acres of land to grow corn and wheat the cost to cultivate corn is $42 per acre. The cost to cultivate wheat is $35 per acre.they have $16,520.00 to cultivate thes

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The farm has 450 acres of land to grow corn and wheat the cost to cultivate corn is $42 per acre. The cost to cultivate wheat is $35 per acre.they have $16,520.00 to cultivate thes      Log On

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Question 1006466: The farm has 450 acres of land to grow corn and wheat the cost to cultivate corn is $42 per acre. The cost to cultivate wheat is $35 per acre.they have $16,520.00 to cultivate these crops.how many acres of each crop should they plant?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Usually they want the most profitable way to spend
money on 2 or more crops
This question just wants to know how to split the
available acres so that you end up spending the
exact amount of money you have available
----------------------------------------
Let +a+ = acres of corn to be planted
+450+-+a+ = acres of wheat to be planted
+42a+ = cost to plant +a+ acres of corn
+35%2A%28+450+-+a+%29+ = cost to plant +450+-+a+
acres of wheat
------------------------------------------
+42a+%2B+35%2A%28+450+-+a+%29+=+16520+
+42a+%2B+15750+-+35a+=+16520+
+7a+=+770+
+a+=+110+
and
+450+-+a+=+450+-+110+
+450+-+a+=+340+
----------------------
110 acres of corn and 340 acres of wheat
should be planted
-----------------
check:
+42a+%2B+35%2A%28+450+-+a+%29+=+16520+
+42%2A110+%2B+35%2A340+=+16520+
+4620+%2B+11900+=+16520+
+16520+=+16520+
OK