Number of students in senior class is 130
Solution:
Given that Every student in the senior class is taking history or science
85 of them taking both history and science
106 seniors takes history
109 seniors takes science
To find: number of students in senior class
Let A be the set of the students of the senior class that take history
Let B be the set of students of senior class that they science
The number of students in senior class is given by:
[tex]|A \cup B|=|A|+|B|-|A \cap B|[/tex]
Where,
A = 106 and B = 109 and |A n B| = 85
[tex]|A \cup B|=106+109-85=130[/tex]
Thus number of students in senior class is 130
Answer:
130
Step-by-step explanation:
Since 106 seniors are taking history and 109 seniors are taking science. If we add those numbers of seniors up we get 215, then we subtract the number of seniors that are taking both history and science because we counted them twice. So the total is 215 - 85 = 130. Therefore there are 130 students in the senior class.
