Henry Ernest Dudeney/Puzzles and Curious Problems/160 - Boxes of Cordite

by : $160$

 * Boxes of Cordite
 * Cordite charges for $6$-inch howitzers were served out from ammunition dumps in boxes of $15$, $18$ and $20$.
 * "Why the three different sizes of boxes?" I asked the officer on the dump.
 * He answered: "So that we can give any battery the number of charges it needs without breaking a box.


 * This was an excellent system for the delivery of a large number of boxes,
 * but failed in small cases, like $5$, $10$, $25$ and $61$.
 * Now, what is the biggest number of charges that cannot be served out in whole boxes of $15$, $18$ and $20$?
 * It is not a very large number.