Miscellaneous Puzzles 65three; in the third and fourth, thirty-four; in the fourth and fifth, thirty."
How many nuts are there in each bag?- DISTRIBUTING NUTS
Aunt Martha bought some nuts. She gave Tommy one nut and a quarter of
the remainder; Bessie then received one nut and a quarter of what were left;
Bob, one nut and a quarter of the remainder; and, finally. Jessie received one
nut and a quarter of the remainder. It was then noticed that the boys had re-
ceived exactly 100 nuts more than the girls.
How many nuts had Aunt Martha retained for her own use?- JUVENILE HIGHWAYMEN
Three juvenile highwaymen, returning from the market town movie house,
called upon an apple woman "to stand and deliver." Tom seized half of the
apples, but returned ten to the basket; Ben took one-third of what were left,
but returned two that he did not fancy; Jim took half of the remainder, but
threw back one that was worm eaten. The woman was then left with only
twelve in her basket.
How many apples had she before the raid was made?
- BUYING DOG BISCUITS
A salesman packs his dog biscuits (all of one quality) in boxes containing
16, 17, 23, 24, 39, and 40 Ibs. respectively, and he will not sell them in any
other way, or break into a box. A customer asked to be supplied with 100 Ibs.
of the biscuits.
Could you have carried out the order? If not, how near could you have got
to making up the 100 Ibs.? Of course, he has an ample supply of boxes
of each size.
- THE THREE WORKMEN
"Me and Bill," said Casey, "can do the job for you in ten days, but give me
Alec instead of Bill, and we can get it done in nine days."