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Grouping Up (modied version) Use the strategy of Eliminate Possibilities to solve this question. There are more than 60. but fewer than 130 people interviewing

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Grouping Up (modied version) Use the strategy of Eliminate Possibilities to solve this question. There are more than 60. but fewer than 130 people interviewing for a job. To make things go faster, the employers will conduct group interviews. They notice that When they put the people in groups of 3, there are 1 people left over. When the);r put people in groups of 4, there are 3 people left over. - K When they put people in groups of 5, there are 1 people left over. ' '7 How many people are interviewing for the job? First eliminate some possibilities. Based on the clue about the number left over when put in groups of 5, which set of numbers must contain the answer? 0 (62, 67, 72, 77, 82, 87, 92, 97,102, 107, 112, 117,122,127) 0 (64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129) O (61, 66, 71, 76, 81,86, 91, 96,101,106,111,116,121,126) O (63, 68, 73, 78, 83, 88, 93, 98,103, 108, 113,118,123,128) Now use the clues about the groups of 3 and 4 to eliminate all but one of the number from this list. Which number is left? How many people are interviewing for the job? 1 people are interviewing for the job

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