Answer:
300 acres of corn and 140 acres of wheat
Step-by-step explanation:
Let 'x' represents acres of corn
and 'y' represents acres of wheat
Lets form equations first.
-> Farmer brown planted corn and wheat on his 440 acres
x+y=440
x= 440 -y --> eq(1)
->harvesting corn is $275 per acre the cost of planting and harvesting wheat is $140 per acre
275x+140y=102,100
Substituting 'x' from eq(1) in above equation.
275(440-y) + 140y = 102,100
121000 - 275y + 140y = 102100
-135y= 102100-121000
-135y= -18900
y= 18900/ 135
y= 140 acres of wheat
plugging value of 'y' in eq(1)
(1)=>x= 440 -140
x= 300 acres of corn.
Therefore, there is 300 acres of corn and 140 acres of wheat. We can say that there is more acres of corn planted than acres of wheat using the equation x-y=300-140=160. There are 160 more acres of corn planted than wheat.
