Henry Ernest Dudeney/Puzzles and Curious Problems/137 - Buying Dog Biscuits

by : $137$

 * Buying Dog Biscuits
 * A salesman packs his dog biscuits (all of one quality) in boxes containing $16$, $17$, $23$, $24$, $39$ and $40 \ \mathrm{lbs.}$ (that is, pounds weight),
 * and he will not sell them in any other way, or break into a box.
 * A customer asked to be supplied with $100 \ \mathrm{lbs.}$ of the biscuits.
 * Could you have carried out the order?
 * If not, now near could you have got to making up the $100 \ \mathrm{lbs.}$ supply?


 * Of course, he has an ample supply of boxes of each size.