Last Problem:
A hungry, exotic, four inch worm loves
to eat paper for a special treat. This
particular worm discovers by chance a
full set of 1964 Collier’s encyclopedias
sitting on the bottom self of Professor
Moriarty’s book shelf on Daft Street in
London on a sunny day in November.
to eat paper for a special treat. This
particular worm discovers by chance a
full set of 1964 Collier’s encyclopedias
sitting on the bottom self of Professor
Moriarty’s book shelf on Daft Street in
London on a sunny day in November.
The worm starts eating from the front
cover of the first volume. He eats all the
way through to the back cover of the
third volume before being discovered
by Professor Moriarty who was investigating
the etiology of Asian worms that are longer
than one inch long.
cover of the first volume. He eats all the
way through to the back cover of the
third volume before being discovered
by Professor Moriarty who was investigating
the etiology of Asian worms that are longer
than one inch long.
If the covers of each book are each
1/2 cm thick and the pages of each
volume are 8 cm thick, how many
centimeters did the worm eat before
he was discovered by Professor Moriarty?
Answer:
The worm eats the entire contents of the
second volume only, or 9 cm. The books
are sitting on Professor Moriarty’s book shelf
back to back. The front cover of the first
volume is next to the back cover of the
second volume. The back cover of the third
volume is next to the front cover of the second volume. The worm only eats the contents of the second volume.
second volume only, or 9 cm. The books
are sitting on Professor Moriarty’s book shelf
back to back. The front cover of the first
volume is next to the back cover of the
second volume. The back cover of the third
volume is next to the front cover of the second volume. The worm only eats the contents of the second volume.
Today’s Problem:
Betty invites three friends to her overnight
birthday party. Her Mom made a beautiful
round chocolate cake for the girls to eat.
birthday party. Her Mom made a beautiful
round chocolate cake for the girls to eat.
Betty made a party rule. Each child at the
party is allowed to make only one vertical
cut to Betty’s Birthday cake.
party is allowed to make only one vertical
cut to Betty’s Birthday cake.
What is the maximum number of pieces of
cake that can result from Betty’s rule?
cake that can result from Betty’s rule?