Club X has more than 70 but fewer than 100 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
Choose the correct choice from the following answers:
A) 1.	B) 2.	C) 3.	D) 4.	E) 5.
The number of members is 4j+3 = 5k+3.   Let's start at 4(17)+3 = 71 and keep adding 4 until we find a number in the form 5k+3.   71, 75, 79, 83 = 5(16) + 3   The club has 83 members.   83/6 = 6(13) + 5   The answer is 5..
<result>E</result>
Club X has more than 70 but fewer than 100 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?