Farmer rusty nales has a total of 25 chickens and cows on his farm. How many of the aches animals does he have if all together t here are 76 legs, Write a system of equations for each equation
Solve using substitution or elimination
1 answer:
Answer:
13 cows, 12 chickens
Step-by-step explanation:
Total number of animals= 25
Total number of legs= 76
Let the number of cows be x and the number of chickens be y.
x +y= 25 -----(1)
Since each cow has 4 legs and each chicken has 2 legs,
4x +2y= 76 -----(2)
The second equation can be simplified by dividing both sides of the equation by 2:
2x +y= 38 -----(3)
Let's solve by elimination!
(3) -(1):
2x +y -(x +y)= 38 -25
Expand:
2x +y -x -y= 13
x= 13
Substitute x= 13 into (1):
13 +y= 25
y= 25 -13
y= 12
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