You are playing Guess Your Card with three other players. Here is what you see:

Question

You are playing Guess Your Card with three other players. Here is what you see:

Andy has the cards 1, 3, & 7
Belle has the cards 3, 4, & 7
Carol has the cards 4, 6, & 8

Andy draws the question card, “Do you see two or more players whose cards sum to the same value?” He answers, “`Yes.”

Next Belle draws the question card, “ Of the five odd numbers, how many different
odd numbers do you see?” She answers “All of them.”< /font>

Andy suddenly speaks up. "I know what I have," he says. "I have a one, a three, and a seven."

The Questions

1. What cards do you have?

In answering this question, you must write a neat and professional report. You need to briefly summarize the salient facts of the problem, explain your strategy for solving the problem, explain why your strategy will work, execute your strategy, show your mathematical working, draw conclusions from your working, and finally present your answer with a brief summary of why it is your conclusion.

2. Remember, your strategy is to use more than logic. What kind of logic will you use?

Explanation / Answer

You have a 5, 9, & 4. In order for all the odd numbers to bee seen, you need to hold the 5& 9. Then in oder for it to add up to the same sum as another player you need to add up to either 11, 14 or 18. Since 5 + 9 = 14 and you have 3 cards you have to add up to 18, the higher of the sums. This means you need the 4 because 18 - 14 = 4.

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