Algebra 1 question

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With each purchase, a restaurant gives out a ticket with a number on it.  Anyone with tickets whose numbers add up to 100 wins.  A group of students collects tickets with the following numbers:  3, 3, 3, 6, 12, 15, 24, 42, 54, 60, 72, and 84.  Prove that it is impossible to form a sum of 100 from the numbers above.