Meenu had some toffees to be distributed equally among some children. if she put 5 toffees each in a packet, she found only 3 toffees were left. Then she tried putting 6,7 and 8 toffees in a packet and found that again she was left with 4, 5 and 6 toffees. What is the minimum number of tofees she had?

1 answer

N is the number of toffes

N/5=R3 (remainder 3)
N/6=R4
N/7=R5
N/8=R6

http://www.youtube.com/watch?v=3PkxN_r9up8 is a good example of how to use the Chinese Remainder Theorem to solve this modulus problem. Repost if you can't work it out.