Time for MATH MINUTE! (provide your favorite theme music
here).
Get
out your paper & pencil because I have a new puzzle for you!!
PUZZLE #13 Teeny the Genie Dec. 11
– Dec. 15
While digging out in the
wastelands, Jeanie found an old oil lamp.
Thinking of the story of the
Genie in the lamp, she rubbed it just
for fun and POOF! in a cloud of
smoke out popped a small Genie.
Hi, he said, my name is Teeny,
what can I do for you? You get the
usual three wishes.
Dazed she quickly came to her
senses and said, I would like to find
the biggest diamond in the
world!
No problem, he said, and POOF!
nine nearly identical stones
appeared on the ground in front
of her.
So where is the diamond? she
said.
It is hidden in one of the
stones, he smiled, all you have to do is find
it, but the other stones must
stay here. Choose wisely, he cautioned.
How can I figure out which one
has the diamond? she said as she
inspected the stones.
All but one of the stones weigh
the same. The diamond is contained
in the stone which weighs a
small amount more than the others, he said.
Gee I wish I had a way to weigh
them, she muttered.
POOF! a balance scale appeared.
That was wish number two! Teeny
said. By the way, he said, that
balance scale is special and can only be
used once.

What? she cried, that means I
will probably need another scale.
POOF! another balance scale
appeared. Wish number three!
cried Teeny, I am outta here!
Oh, by the way, that second
scale is like the first one, it only works
once too, he said, and then
(you guessed it) POOF! he disappeared.
Great, sighed Jeanie, now what
do I do?
Is it possible for Jeanie to
figure out which stone has the priceless
diamond in it with only two
weighings?
Please explain.
Send your comments,
ideas and solutions before Monday Dec. 18 to this
email address, parksjm@potsdam.edu
,
and in the subject line be sure to put: * MM
* .
Visit
us here online at
http://www2.potsdam.edu/parksjm/MM.htm
to see the results every Monday.
See you next time on MATH MINUTE! (theme music fades out here).