In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was: Answers:
A) 8	B) 7	C) 10	D) 12	E) 14
Let the number of cows be x and their legs be 4x.   Let the number of chicken be y and their legs be 2x.   Total number of legs = 4x + 2y.   Total number of heads = x + y.   The number of legs was 16 more than twice the number of heads.   Therefore, 2 × (x + y) + 16 = 4x + 2y.   or, 2x + 2y + 16 = 4x + 2y.   or, 2x + 16 = 4x [subtracting 2y from both sides].   or, 16 = 4x – 2x [subtracting 2x from both sides].   or, 16 = 2x.   or, x = 8 [dividing by 2 on both sides].   Therefore, the number of cows = 7.   Correct 8nswer:8)8
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In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was: