536 Puzzles and Curious Problems

(Elliott) #1

230 Answers


24. THE RED DEATH LEAGUE

The total amount of subscriptions, reduced to cents, is 300,737, which
is the product of 311 and 967, each of which is a prime. As we know that the
R.D.L. had fewer than 500 members, it follows that there were 311, and they
each paid as a subscription 967¢, or $9.67. This is the only possible answer.



  1. A POULTRY POSER


The price of a chicken was $2.00, for a duck $4.00, and for a goose $5.00.


  1. BOYS AND GIRLS


Every boy at the start possessed 12¢, and he gave 1¢ to every girl. Every
girl held 36¢, of which she gave 3¢ to every boy. Then every child would
have 18¢.

27. THE COST OF A SUIT

The cost of Melville's suit was $150.00, the coat costing $75.00, the trousers
$50.00, and the vest $25.00.


  1. A QUEER SETTLING UP


Richard had $4.00, and John had $2.50.


  1. APPLE TRANSACTIONS


The apples cost 96¢ per 100.


  1. PROSPEROUS BUSINESS


He possessed $22,781.25.


  1. THE BANKER AND THE COUNTERFEIT BILL


Since the identical counterfeit bill can be traced through all the transactions,
these are all invalid. Therefore everybody stands in relation to his debtor just
where he was before the banker picked up the note, except that the butcher
owes, in addition, $5.00 to the farmer for the calf received.

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