Question 474905: A stack contains between 70 and 80 $100 dollar bills. If the bills are taken out of the stack six at a time, two bills will be left in the stack. If the bills are taken out of the stack four at a time, two bills will be left in the stack again. How many bills are in the stack?
A) 70
B) 72
C) 74
D) 78
E) 80
Please explain how I could approach and solve this, thanks!
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! The number of bills is two more than a multiple of 6, so 74 and 80 are the only possible choices given the first constraint. The second constraint implies that the number of bills is 2 more than a multiple of 4, so 70, 74, 78 are the only ones satisfying this. 74 is the only number satisfying both, so there must be 74 bills.
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