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Answer:
We assume that each chicken and each pig has 1 head. And, each chicken has 2 legs and each pig has 4 legs. The problem gives the total number of legs (874) and asks for the number of chickens.
The number of chicken legs + the number of pig legs = 874
And for heads number of chickens + number of pigs = 295
Solution:
2C +4P = 874
C + P = 295
2C + 4P = 874
2C + 2P = 590
0 + 2P = 284
P = 142
C + 162 = 295
C = 153
Checking:
2(153) + 4(142) = 874
306 + 568 = 874
Answer: There were 153 chickens on the farm