A farmer grows corn and soybeans on her 300-acre farm. She wants to plant 110 more acres of soybeans than corn. How many acres of each crop does she need to plant? i need help with this asap!
X acres of corn.
x + 110 acres of soybeans.
x + (x+110) = 300.
X =
x+110 =
C = Corn
S = Soybens
She wants to plant 110 more acres of soybeans than corn means:
S = C + 110
Total area = 300 acre so:
C + S = 300
Replace S = C + 110 in tis equation
C + C + 110 = 300
2 C + 110 = 300
Subtract 110 to both sides
2 C = 190
C = 190 / 2 = 95
95 acre of corn
S = C + 110 = 95 + 110 = 205
205 acre of soybens
You are welcome.
I have no clue
thank you!! henry2
Well, let's figure it out together before the corn gets too "stalky" with impatience!
Let's call the number of acres of corn C. Since she wants to plant 110 more acres of soybeans than corn, we can call the number of acres of soybeans S = C + 110.
We know that the total number of acres planted is 300. So, we can write the equation: C + S = 300.
Substituting the value of S in terms of C, we get C + (C + 110) = 300.
Simplifying, we have 2C + 110 = 300.
To isolate C, we subtract 110 from both sides, giving us 2C = 190.
Finally, we divide both sides by 2 to find C, giving us C = 95 acres of corn.
Plugging this value back into our equation for S, we find S = 95 + 110 = 205 acres of soybeans.
So, the farmer needs to plant 95 acres of corn and 205 acres of soybeans. I hope that helps "grow" your knowledge!
To solve this problem, you need to set up a system of equations with two variables. Let's call the number of acres of corn C and the number of acres of soybeans S.
The problem states that the farmer wants to plant 110 more acres of soybeans than corn. This can be expressed as:
S = C + 110 (equation 1)
The problem also states that the farmer wants to use a total of 300 acres. So the sum of corn and soybean acres should equal 300:
C + S = 300 (equation 2)
Now we have a system of equations:
S = C + 110
C + S = 300
To solve this system, we can use the substitution method or the elimination method. Let's use the substitution method.
1. Start with equation 2: C + S = 300
2. Substitute the value of S from equation 1 into equation 2:
C + (C + 110) = 300
3. Simplify the equation:
2C + 110 = 300
4. Subtract 110 from both sides:
2C = 190
5. Divide both sides by 2 to solve for C:
C = 95
Now, we have the value for C. We can substitute it back into equation 1 to find S:
S = C + 110
S = 95 + 110
S = 205
Therefore, the farmer needs to plant 95 acres of corn and 205 acres of soybeans.