Problems regarding sets

Question

In a survey of 100 students playing various games were found as follows:cricket only 18;cricket but not football23;cricket and badminton 8;cricket 26;badminton48;badminton and football 8 and no games 24.  

1)how many were playing football.?

2) how many were playing cricket and football.?

Answer 1

The best method for solving this is using a Venn diagram.

In WyzAnt Resources/Answers, you should be able to find numerous examples of problems like this.

The textbook for a math course presenting problem like this usually has several illustrated examples.

Remember to work from the innermost regions outward in the diagram.