Question
there are fewer than 6 dozen eggs in a basket. If I count them 2 at a time, there is 1 left over. If I count them 3 at a time, there are none over. If I count them 4, 5, or at a time, there are three left over. How many eggs are there?
Answers
oobleck
tart with the multiples of 5, plus 3:
8,13,18,23,28,33,38,43,48,53,58,63,68
How many of those are multiples of 3?
33,63
Only one of those is of the form 4k+3
8,13,18,23,28,33,38,43,48,53,58,63,68
How many of those are multiples of 3?
33,63
Only one of those is of the form 4k+3