Mat 104 Assignment 2: Logic Application

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Running Head: Assignment 2: Logic Application Assignment 2: Logic Application MAT 104 – Algebra with Applications February 27, 2012 This assignment introduced a concept of logic application. The instructions displayed a given scenario that required a solution. Along with the solution, a method of obtaining the answer is also requested. For the purpose of this assignment, the scenario introduced a card guessing game. The prompt explained each player draws (without looking) three cards. Each card has a number between 1 and 9 on it. The players then place their cards on their heads so that everyone but themselves can see the cards. The object of the game for a player to guess their own cards. The first person to guess correctly wins. After careful consideration, the best method for solving this problem would be to use the process of elimination. The prompt provides you with an adequate amount of information; you just need to make adjustments once new information is unveiled. To begin, Andy draws the question card, “Do you see two or more players whose cards sum to the same value?” He answers, “`yes.” Table 1, below, represents the sum of Belle’s and Carol’s cards. Table Sum of Belle's cards = 3 + 4 + 7 = 14 | Sum of Carol's cards = 4 + 6 + 8 = 18 | Since these have different sums, but Andy sees at least two players whose cards have the same sum, then your cards must add up to either 14 or 18. The next question card belongs to Belle. As she draws the question card, “Of the five odd numbers, how many different odd numbers do you see?” She answers “All of them.” The only odd cards that Belle sees from Andy and Carol are 1, 3, and 7. So using that piece of information, you must have a 5 or 9 in your possession. This problem is nearly solved after the second question card is revealed. However, the final eliminations must be made to reveal your

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