Question 765794: You are playing Guess Your Card with three (3) other players. Here is what you see:
•Andy has the cards 1, 5, and 7
•Belle has the cards 5, 4, and 7
•Carol has the cards 2, 4, and 6
Andy draws the question card, “Do you see two (2) or more players whose cards sum to the same value?” He answers, “Yes.”
Next Belle draws the question card, “Of the five (5) odd numbers, how many different
odd numbers do you see?” She answers, “All of them.”
Andy suddenly speaks up. "I know what I have," he says. "I have a 1, a 5, and a 7."
Write a one to three (1-3) page paper in which you:
1.Summarize the salient facts of the problem.
2.Explain your strategy for solving the problem.
3.Present a step-by-step solution of the problem.
4.Clearly state your answer.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
If Belle can see all 5 odd numbers and only 3 of the 5 odd numbers appear in Andy and Carol's hands, the other two odd numbers, namely 3 and 9, must be in your own hand.
Since Andy can see two hands that total the same, Belle's hand totals 16, and Carol's hand totals 12, your hand must total either 16 or 12. But since you know that you have a 3 and a 9 which total 12 by themselves, you know that your total cannot be twelve because there is no zero card. Therefore your total must be 16 and your cards must be 3, 4, and 9.
If you want a paper written, I'm not doing that for free. Write back and I'll give you a quote for a full up scholarly paper.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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