Farmer Brown planted corn and wheat on his 430 acres of land. The cost of planting and harvesting corn (which includes seed, pla
nting, fertilizer, machinery, labor, and other costs) is $280 per acre. The cost of planting and harvesting is wheat is $125 per acre. If Farmer Brown’s total cost was $95,600, how many acres of corn than wheat did the farmer plant?
2 answers:
Answer:
The farmer planted 270 acres of corn and 160 acres of wheat.
Step-by-step explanation:
Let the acres of corn be = x
Let the acres of wheat be = y
Total acres of land = 430
So, we have or
.....(1)
The cost of planting and harvesting corn is $280 per acre. The cost of planting and harvesting wheat is $125 per acre. The farmer spent $95600 on plantation.
We get another equation as:
.....(2)
Substituting the value of x from (1)
=>
=>
=>
y = 160
And x =
x = 270
So, the farmer planted 270 acres of corn and 160 acres of wheat.
You might be interested in
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement Reason
1. a║b, c is a transversal Given
2. ∠6 ≅ ∠2 Corresponding angles theorem
3. m∠6 = m∠2 Definition of congruent
4. ∠6 is supp. to ∠8 Definition of linear pair
5. ∠2 is supp. to ∠8 Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.