SOLUTION: THere are 100 chicken and rabbits on a farm. For a total of 260 legs. How many chickens are there in the farm?

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Question 626226: THere are 100 chicken and rabbits on a farm. For a total of 260 legs. How many chickens are there in the farm?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
let c be the number of chickens and r be the number of rabbits.
You are told
c+%2B+r+=+100
You are also told the total number of legs is 260. So
2c+%2B+4r+=+260 since each chicken has 2 legs and each rabbit has 4
Use those two equations to solve for c
r+=+100+-c from equation 1.
2c+%2B+4r+=+260 substitute in the value for r in the previous equation
2c+%2B+4%28100-c%29+=+260 now simplfoy and solve for c
2c+%2B+400+-+4c+=+260
-2c+=+-140
c+=+70
so you have 70 chickens and 30 rabbits.
Check your answer, does 2*70 + 4*30 = 260?