There are 566 members in arts club and 522 are members in the music club. If the total number of people who are members in either or both the clubs is 963, how many people are members in both clubs?
See a solution process below:
The total membership of both clubs, with overlap, is:
However, without overlap we are told the are a total of 963 in the clubs. We can find the total number in both by subtracting the total number of individual members from the total number of members with overlap we calculated above:
There are 125 people who are members of both clubs.
This can be done with Set Theory, but I will stick with the traditional method.
The number of members in either or both the clubs
The number of members in the arts club
Therefore, The number of members in only music club is
The number of members in the music club is
Therefore, the number of members of both clubs
Hope this helps.