Hint to Riddle #24: The Market

24. You're a farmer. You're going to a market to buy some animals. On the market there are 3 types of animals for sale. You can buy: Horses for £10 each, goats for £1 each and ducks, you get 8 of these per bunch and each bunch costs £1. The aim is to acquire 100 animals at the cost of £100, what is the combination of horses, goats and duck that allows you to do this? (you must buy at least one of each.)
picture of a horse, sheep and duck
You can just brute force this, just try lots of combinations until you get to the right one. There are certain criteria in the puzzle that mean we can make sort of sensible choices.

But there is no fun in that. To 'solve' the puzzles we need to use ruthless logic and start building equations for example H + G + D = 100 (animals).

There are only two equations we can use though and three variables that we are trying to solve for. But as we get nearer the end other things, like you can only buy integer horses will cause the solution to appear.

Where next?
Questions Answer

© Nigel Coldwell 2004 -  – The questions on this site may be reproduced without further permission, I do not claim copyright over them. The answers are mine and may not be reproduced without my expressed prior consent. Please inquire using the link at the top of the page. Secure version of this page.

PayPal - The safer, easier way to pay online.
I always think it's arrogant to add a donate button, but it has been requested. If I help you get a job though, you could buy me a pint! - nigel

This Website Uses Cookies

To increase the functionality of the site. The cookies I apply do not uniquely identify you, by continuing to use this site you agree to let me place a cookie. I also have advert and analytics providers, my advertising provider (Google,) does provide personalised adverts unless you specify otherwise, with them. For more information click here.x