Problema Solution

Farmer Brown planted corn and wheat on his 1150 acres of land. The cost of planting and harvesting corn is $280 per acre. The cost of planting and harvesting wheat is $140 per acre. If Farmer Brown total cost was $249200, how many acres of corn did he plant?

Answer provided by our tutors

Let


x = the acres of corn planted


y = the acres of wheat planted


Farmer Brown planted corn and wheat on his 1150 acres of land:


x + y = 1150


Farmer Brown total cost was $249200:


280x + 140y = 249200


We have the following system of equations:


x + y = 1150


280x + 140y = 249200

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........

x = 630 acres


y = 520 acres


Farmer Brown planted 630 acres of corn.