Question 697332: A total of 66 animals are in the farm consisting of pigs and turkeys. If there is a total of 210 feet, how many pigs and turkeys are there?
Answer by Positive_EV(69)   (Show Source):
You can put this solution on YOUR website! For this question, you can set up a system of two equations with two variables.
Let p = the number of pigs and t = the number of turkeys.
We know there are 66 animals total, so
p + t = 66
We also know there are 210 feet. Pigs have 4 feet and turkeys have 2, so the second equation is:
4*p + 2*t = 210
Given these equations, you can solve for either p or t first by eliminating the other variable.
Since p + t = 66, subtract p from both sides to get
t = 66 - p. Next, replace the variable t in the second equation with 66 - p, since t = 66 - p:
4*p + 2*(66 - p) = 210
4*p + 132 - 2*p = 210
2*p = 78
p = 39
So, there are 39 pigs. Plug this value for p into either equation to find t:
39 + t = 66
t = 27
Thus, there are 39 pigs and 27 turkeys.
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