8 Arithmetic & Algebraic Problems- BUYING TURKEYS
A man bought a number of turkeys at a cost of $60.00, and after reserving
fifteen of the birds he sold the remainder for $54.00, thus gaining 1O¢ a head
by these. How many turkeys did he buy?
22. THE THRIFTY GROCER
A grocer in a small business had managed to put aside (apart from
his legitimate profits) a little sum in dollar bills, half dollars, and quarters,
which he kept in eight bags, there being the same number of dollar bi1ls and
of each kind of coin in every bag. One night he decided to put the money into
only seven bags, again with the same number of each kind of currency in
every bag. And the following night he further reduced the number of bags to
six, again putting the same number of each kind of currency in every bag.
The next night the poor demented miser tried to do the same with
five bags, but after hours of trial he utterly failed, had a fit, and died, greatly
respected by his neighbors. What is the smallest possible amount of money
he had put aside?
23. THE MISSING PENNY
Here is an ancient puzzle that has always perplexed some people. Two
market women were selling their apples, one at three for a penny and
the other at two for a penny. One day they were both called away when each
had thirty apples unsold: these they handed to a friend to sell at five for 2¢.
It will be seen that if they had sold their apples separately they would have
fetched 25¢, but when they were sold together they fetched only 24¢.
"Now," people ask, "what in the world has become of that missing
penny?" because, it is said, three for l¢ and two for l¢ is surely exactly the
same as five for 2¢.
Can you explain the little mystery?
- THE RED DEATH LEAGUE
The police, when making a raid on the headquarters of a secret society,
secured a scrap of paper similar to the one pictured.