Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 <u>- 2y + 4y</u> = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
Lets take into account that we are solving for a. To solve for a we must add like terms:
a+16=32
-16=-16
------------
a=16
The answer has to be choice A.
Both equal to y so set equal to each other
4x+4=x²+4
minus 4 both sides
4x=x²
minus 4x both sides
0=x²-4x
factor
0=x(x-4)
set each to zero
0=x
0=x-4
4=x
x=4 and 0
2 solutions
Answer:
4,-1 that is the answer so
