SOLUTION: Fred has a shoebox of baseball cards. When he counted them by 2's, 3's, 4's, 5's, or 6's he had 1 left over. If he had fewer than 100 cards, how many did he have?

Algebra ->  Divisibility and Prime Numbers  -> Lessons -> SOLUTION: Fred has a shoebox of baseball cards. When he counted them by 2's, 3's, 4's, 5's, or 6's he had 1 left over. If he had fewer than 100 cards, how many did he have?      Log On


   

Question 159031: Fred has a shoebox of baseball cards. When he counted them by 2's, 3's, 4's, 5's, or 6's he had 1 left over. If he had fewer than 100 cards, how many did he have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
The magic number is 61.
61/2=30 r1.
61/3=20 r1.
61/4=15 r1.
61/5=12 r1.
61/6=10 r1.