BB Logo Spacer
Spacer
Line
Line

Puzzle - Answer

A farmer was asked how many chickens he had sold at market that day. His reply was:

I've had four customers today, and each bought half of my remaining chickens, plus a half chicken.

The farmer sold all of his chickens at market that day. How many chickens did the farmer sell?

 [Ref: ZVAK] © Kevin Stone

Answer: 15 chickens.

The first customer bought  15 ÷ 2 + ½ = 8 (leaving 7)
The second customer bought  7 ÷ 2 + ½ = 4 (leaving 3)
The first customer bought   3 ÷ 2 + ½ = 2 (leaving 1)
The first customer bought   1 ÷ 2 + ½ = 1

The answer can be worked out in the following way:

The fourth customer can only have bought one chicken, otherwise there would be some chickens left. The third customer bought all but 1, so total - (total ÷ 2 + ½) = 1. This can be solved algebraically or it's easy to see that the total must have been 3. This method keeps working until we reach the first customer.

Back to the puzzles...

 

 



This website uses cookies, for more information please view our privacy policy.

Line
Line