In a small community, a book club consists of 36 members. Each member has a varying number of books which they share with the group. The total number of books owned by the members is 240. If five new members join the club, each bringing 8 books, how many books will the club have in total, and what would the average number of books per member be?
To calculate the new average, first determine the new total number of books and the new total number of members, then divide the total number of books by the new membership count.