### Brain Teasers

# Doughnut Pool

Some office workers were holding a daily pool on the number of doughnuts their boss would eat each weekday morning during March. Each person set aside funds in their desk with which to bet. Each day from Monday, March 3rd, they all bet a dollar - Kevin bet on 2, Kate on 3 and Kathy on 3.5 doughnuts. Kathy won twice as many times as Kevin, who was right once more than Kate; sometimes there was no winner. By April, they all had $20 in their desks. How much was the most anyone could have had in their desk at the beginning of March?

### Hint

The pot does not accumulate if there is no winner - each person gets his "stake" back.### Answer

$27There would be 21 working days in a March where the first weekday is the third. The combination of wins in which anyone will have lost the most money has a total of 19 wins (10 for Kathy, 5 for Kevin and 4 for Kate). In this scenario, Kate would have lost 15 times ($15) and won 4 times ($8), for a net loss of $7. Since she now has $20, she must have started with $27.

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