Algebra 1 question
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.