Urgent! Pow #5 IMP Int. 3 math!

didgeridoo

New member
Joined
Mar 8, 2007
Messages
1
That’s Entertainment!

An entertainer has an ordinary deck of playing cards. He gives them to his subject, turns his back and has her shuffle the deck thoroughly.

Keeping his back to her so he can’t see what she is doing he then tells her to make some piles according to these instructions.

1.) First she turns over the top card of the deck
.
If it is a face card (jack, queen, king) she puts it back somewhere in the middle of the deck and picks a new top card of the deck. She keeps going until she gets a card that is not a face card. That is she continues until she gets an ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10 and places that card face up on the table.

2.) Beginning with the number on that card she starts counting to herself until she gets to 12 (aces are treated as the number 1). With each count she takes one card from the top deck and places it face up on the pile she is creating. When she reaches 12 she turns the pile over so that the card she started wit is face down on top.

For ex. If she initially turns a 8 she places a card on top of the 8 and silently counts “9”. Then she places a card on top of the pile and silently counts “10”, then another card on top and counts “11”, and finally another card on top and counts “12”. At that point she turns over the pile with the 8 face down on top. In this ex. the pile would have 5 cards altogether.

3.) Once the pile is complete she repeats the instructions 1, and 2. Working with the remaining cards, she keeps creating new piles until she runs out of cards.
If she runs out of cards while trying to complete a pile she picks up all the cards in that incomplete pile.

The women follows the instructions. When she is done the entertainer turns around and asks her to give him the cards from her final, incomplete pile.

He sees that she has given him five cards, but he does not look to see which cards they are. He also sees that she has made six complete piles.

He then tells her to take the top card from each pile and add the numerical value of these cards together, without showing him the cards or telling him the sum.
She does this, and he then tells her the sum she got.

The Task: To figure out what the sum was and how the entertainer figured it out.

Thank You so much to anyone who has any suggestion. Or who can help me figure this out, my teacher is incompetent.
 
Take a deck of cards and start experimenting.
Hint:
In the example, because there's 5 cards left, then the 6 piles contain 47 cards, right?
What must the bottom 6 cards be in order to create 6 piles with 47 cards?
a......11, 12
b......11, 12
c......11, 12
d......11, 12
e......11, 12
f.......11, 12
What's a+b+c+d+e+f?

That's all you get from me :shock:
 
didgeridoo said:
Thank You so much to anyone who has any suggestion. Or who can help me figure this out, my teacher is incompetent.
This isn't your teacher's project, so I'm not sure how your "slam" relates to the issue, especially considering that you don't appear to have bothered to use the "search" utility to find the other postings of this exercise. :roll:

Eliz.
 
Top