Shingles and Apples



There is an old story of a trader who put into Philadelphia with a boat load of shingles, some which had been damaged in passage. He was asked by a Quaker merchant what the price was for the shingles.

"They are $10 a bundle," he replied, "if you choose the the bundles and $5 a bundle if I choose them."

The merchant thought for a minute and said, "Captain, I will buy your whole cargo, and you can choose the bundles."


Here is a problem which involves a similar principle. A man had an apple stand and sold his larger apples at 3 for a dollar and his smaller apples at 5 for a dollar. When he had just 30 apples of each size left to sell, he asked his son to watch the stand while he had lunch. When he came back from lunch the apples were all gone and the son gave his father $15. The father questioned his son. "You should have received $10 for the large apples and $6 for the 30 small apples, making $16 dollars in all." The son looked surprized. "I am sure I gave you all the money I received and I counted the change most carefully. It was difficult to manage without you here, and as there were an equal number of each sized apple left, I sold them all at the average price of 4 for $1. Four goes into 60 15 times so I am sure $15 is correct."

Where did the $1 go?

I give up, show me the Answer

Discuss this and other puzzles here.


Copyright Erik Oosterwal - 2004
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