Enigma 46: Rising prices
15 January 2013
Posted by on
From New Scientist #1189, 10th January 1980 [link]
George recently hit upon a plan to get his three daughters up earlier in the mornings. He promised each one penny on each day she was down before him. He further offered one extra penny for a second consecutive day, two extra for a third consecutive day and so on. Thus five consecutive days would be worth 1 + 2 + 3 + 4 + 5 = 15 pence. But the days had to be consecutive.
The scheme ran for eight days, Monday to Monday inclusive. George managed to be first down on one day and third on two others. Otherwise he was always triumphantly last. Alice made more money than Brenda, who was last down on Sunday, and the whole scheme, as it turned out, could not have cost George less than it did for a tally of one first and two third places.
On which day or days was George down before Cynthia?