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Acc 100 Final Paper

In: Business and Management

Submitted By croal77
Words 324
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Assignment 2: Logic Application

MATH 104
Professor Matthew Selwyn
Strayer UniversIity
27 August 2012

Find the sum of Belle’s cards 3 + 4 + 7 = 14
Find the sum of Carol’s cards 4 + 6 + 8 = 18
Since the sum of Belle’s cards and Carol’s cards are not equal, then the sum of my cards is either 14 or 18.

Belle sees all five odd numbers between 1 and 9: 1, 3, 5, 7, and 9.
I can see that Andy three odd numbers 1, 3, and 7.
I can see that Carol does not have any odd numbers. Since Andy has 1, 3, and 7, therefore I must have the remaining odd numbers: Two of my cards are 5 and 9.
I still have one number unknown, but I know the sum of the unknown plus 5 and 9 equals 14 or 18. x + 5 + 9 = 14
OR
x + 5 + 9 = 18

If the sum of my cards is 14:

x + 5 + 9 = 14 x + 14 = 14 x – 14 = 14 – 14 x = 0
However, because the cards are numbered between 1 and 9, then x ≠ 0. This solution is not valid, and therefore eliminated. If the sum of my cards is 18:

x + 5 + 9 = 18 x + 14 = 18 x – 14 = 18 – 14 x = 4
My cards are 4, 5, and 9.
(*) Andy sees that I have 5, and 9, therefore, 1, 3, and 7 remain and since Carol has all even numbers he must have a, 3, and 7.

Conclusion: Guess Your Cards is a game won by using deduction and the process of elimination. The answers to the questions drawn from the deck, equips the players with the linkages between the cards that are visible as well as their own cards that are not visible. By building on the information provided, players can eliminate numbers they don’t have or identify which numbers they do have and ultimately identify all the cards they have.…...

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