[X]

Privacy Policy + T&C

We use cookies to personalise our content and ads, and for traffic analysis. Information about your use of our site is shared with our advertising and analytics providers. You also agree to our T&C.

[X]

Common Answers

Have you entered August's Common Answers?

BB Logo Spacer
Spacer
Line
Line

Difficulty: Medium

VotesVotesVotesVotesVotes
Puzzle Details:

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?

Show Hint Show Answer Print Puzzle Rate Puzzle
[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.


 

 



This website uses cookies, for more information please view our privacy policy. By using the site you also agree to our terms and conditions.

Line
Line