Amusements in Mathematics | Page 3

puzzles are capable
of being solved by him on purely arithmetical lines.

MONEY PUZZLES.
"Put not your trust in money, but put your money in trust."
OLIVER WENDELL HOLMES.
1.--A POST-OFFICE PERPLEXITY.
In every business of life we are occasionally perplexed by some chance question that for
the moment staggers us. I quite pitied a young lady in a branch post-office when a
gentleman entered and deposited a crown on the counter with this request: "Please give
me some twopenny stamps, six times as many penny stamps, and make up the rest of the
money in twopence-halfpenny stamps." For a moment she seemed bewildered, then her
brain cleared, and with a smile she handed over stamps in exact fulfilment of the order.
How long would it have taken you to think it out?
2.--YOUTHFUL PRECOCITY.
The precocity of some youths is surprising. One is disposed to say on occasion, "That boy
of yours is a genius, and he is certain to do great things when he grows up;" but past
experience has taught us that he invariably becomes quite an ordinary citizen. It is so
often the case, on the contrary, that the dull boy becomes a great man. You never can tell.
Nature loves to present to us these queer paradoxes. It is well known that those wonderful
"lightning calculators," who now and again surprise the world by their feats, lose all their
mysterious powers directly they are taught the elementary rules of arithmetic.

A boy who was demolishing a choice banana was approached by a young friend, who,
regarding him with envious eyes, asked, "How much did you pay for that banana, Fred?"
The prompt answer was quite remarkable in its way: "The man what I bought it of
receives just half as many sixpences for sixteen dozen dozen bananas as he gives bananas
for a fiver."
Now, how long will it take the reader to say correctly just how much Fred paid for his
rare and refreshing fruit?
3.--AT A CATTLE MARKET.
Three countrymen met at a cattle market. "Look here," said Hodge to Jakes, "I'll give you
six of my pigs for one of your horses, and then you'll have twice as many animals here as
I've got." "If that's your way of doing business," said Durrant to Hodge, "I'll give you
fourteen of my sheep for a horse, and then you'll have three times as many animals as I."
"Well, I'll go better than that," said Jakes to Durrant; "I'll give you four cows for a horse,
and then you'll have six times as many animals as I've got here."
No doubt this was a very primitive way of bartering animals, but it is an interesting little
puzzle to discover just how many animals Jakes, Hodge, and Durrant must have taken to
the cattle market.
4.--THE BEANFEAST PUZZLE.
A number of men went out together on a bean-feast. There were four parties
invited--namely, 25 cobblers, 20 tailors, 18 hatters, and 12 glovers. They spent altogether
£6, 13s. It was found that five cobblers spent as much as four tailors; that twelve tailors
spent as much as nine hatters; and that six hatters spent as much as eight glovers. The
puzzle is to find out how much each of the four parties spent.
5.--A QUEER COINCIDENCE.
Seven men, whose names were Adams, Baker, Carter, Dobson, Edwards, Francis, and
Gudgeon, were recently engaged in play. The name of the particular game is of no
consequence. They had agreed that whenever a player won a game he should double the
money of each of the other players--that is, he was to give the players just as much
money as they had already in their pockets. They played seven games, and, strange to say,
each won a game in turn, in the order in which their names are given. But a more curious
coincidence is this--that when they had finished play each of the seven men had exactly
the same amount--two shillings and eightpence--in his pocket. The puzzle is to find out
how much money each man had with him before he sat down to play.
6.--A CHARITABLE BEQUEST.
A man left instructions to his executors to distribute once a year exactly fifty-five
shillings among the poor of his parish; but they were only to continue the gift so long as
they could make it in different ways, always giving eighteenpence each to a number of
women and half a crown each to men. During how many years could the charity be

administered? Of course, by "different ways" is meant a different number of men and
women every time.
7.--THE WIDOW'S LEGACY.
A gentleman who recently died left the sum of £8,000 to be divided among his widow,
five sons, and four daughters. He directed that every son should receive