Marge has C candies, where C is an integer such that 20 <C< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? Choose the correct choice from the following answers
A) 0 B) 1 C) 2 D) 3 E) 4
If Marge divides the candies equally among 5 children, she will have 2 candies remaining.   This tells us that the candies are of 5x + 2 type and so 22, 27, 32, 37, 42, or 47   If she divides the candies among 6 children, she will have 1 candy remaining.   this tells us it is if 6x+1 type and so 25, 31, 37, 43, or 49   ONLY 37 is common, so candies are 37 in number..   if 37 is divided in 7 kids, remainder 2= 2   2
<result>C</result>
Marge has C candies, where C is an integer such that 20 <C< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?