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A poultry farm has chicken and pigs. When the manager of poultry counted the head of the stock, the count was 295. However when the number of legs was counted, the count was 874, how many chickens were there in the farm?

Sagot :

Elyse02idn

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

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