Henry Ernest Dudeney/Puzzles and Curious Problems/343 - Tom Tiddler's Ground

by : $343$

 * Tom Tiddler's Ground
 * I am on Tom Tiddler's ground picking up gold and silver.
 * Here we have a piece of land marked off with $36$ circular plots,
 * on each of which is deposited a bag containing as many sovereigns as the figures indicate in the diagram.


 * Dudeney-Puzzles-and-Curious-Problems-343.png


 * I am allowed to pick up as many bags of gold as I like,
 * provided I do not take two lying on the same line.
 * What is the greatest amount of money I can secure?