Gopal has some hens and some goats. If the total number of animal heads are 43 and total number of feet are 142, how many hens does Gopal have?
(a) 28     (b) 21
(c) 15     (d) Cannot be determined
(e) None of these


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(c) Let the number of hens = x 

Number of goats = 43 – x 

According to the question, x × 2 + (43 – x) × 4 = 142 

or, 2x + 172 – 4x = 142 

or, 2x = 172 – 142 

x = 30 2 = 15 

Number of hens = 15