Answer:
Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;
Substitute 900 for Total, 600 for S, 500 for D and 125 for N
Open Brackets
Collect Like Terms
Collect Like Terms
Multiply both sides by -1
Reorder
<em>Hence, the number of students that do not participate in both is 325</em>