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Amusements in Mathematics by Henry Ernest Dudeney
page 297 of 735 (40%)
contents of both into a tumbler. "Now," he said, "what part of the
mixture is wine and what part water?" Can you give the correct answer?


368.--THE KEG OF WINE.

Here is a curious little problem. A man had a ten-gallon keg full of
wine and a jug. One day he drew off a jugful of wine and filled up the
keg with water. Later on, when the wine and water had got thoroughly
mixed, he drew off another jugful and again filled up the keg with
water. It was then found that the keg contained equal proportions of
wine and water. Can you find from these facts the capacity of the jug?


369.--MIXING THE TEA.

"Mrs. Spooner called this morning," said the honest grocer to his
assistant. "She wants twenty pounds of tea at 2s. 4½d. per lb. Of
course we have a good 2s. 6d. tea, a slightly inferior at 2s. 3d., and a
cheap Indian at 1s. 9d., but she is very particular always about her
prices."

"What do you propose to do?" asked the innocent assistant.

"Do?" exclaimed the grocer. "Why, just mix up the three teas in
different proportions so that the twenty pounds will work out fairly at
the lady's price. Only don't put in more of the best tea than you can
help, as we make less profit on that, and of course you will use only
our complete pound packets. Don't do any weighing."

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