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UKMT Team Maths Challenge 2010 National Final - Relay Race
A12
The teacher with a TMC team has a bag of sweets. She eats one,
and gives half the remainder to the pupil with most right answers,
then repeats the eating one and giving half to each of the other
three team members in order. The final 3 sweets left in the bag she
offers to the scorers. How many sweets were in the bag initially?
Answer
sweets