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Question

A farmer has almost twice as many chickens as cows. The total number of legs and heads is 184. How many cows are there?

Answer

We will assume the case when the farmers have exactly twice as many chickens as cow. If the farmers had u cows , he has 2u chickens

Number of heads = u + 2u = 3u

Number of legs = 4u + 2 * 2u = 8u

3u + 8u = 184

11u = 184

u = 16 4/11.

Since in actual case, the farmers have almost twice as many chickens, if he had u cows, he has less than 2u chickens. We will choose u as 17 since we need to have less chickens and more cows.

If he has 17 cows with each cow 1 head and 4 legs, he has 5 * 17 = 85 cows’ heads and legs.

Total chicken heads and legs = 184 – 85 = 99

Each chicken has 1 head and 2 legs,

So there were 99/3 = 33 chickens’ heads and legs.

Since 33 is less than 2 * 17 , he had 17 cows.

1 Reply 3 Likes ✔Accepted Answer

This kind of normative question is terrible. Wait till the kid starts wondering about why NTUC sells nothing but chicken legs in one pack, and there are a LOT of chicken legs. And what about the two-headed cows?

https://en.wikipedia.org/wiki/Polycephaly

0 Replies 2 Likes