MATH STINGER #59
by Dr. Joel C. Fowler
Assistant Professor of Mathematics
This issue's puzzle is as follows. Two brothers sell a herd
of sheep. They receive for each sheep
an amount in dollars equal
to the number of sheep in the herd. They split the money by
taking $10
alternately, starting with the oldest. That is, first
the older brother takes $10, then the younger
takes $10, and so
on. They continue this process until eventually the younger
brother finds less
than $10 in the pile. He takes what remains
and, in order to make the division fair, the older brother
gives
the younger his pocket knife. What is the value of the pocket
knife?
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