Answer:
The required Venn diagram in the attachment
Step-by-step explanation:
Here the total people in the sports center is 100.
57 people regularly use fitness suite.
49 people regularly use swimming pool.
36 people regularly use both fitness suite & swimming pool.
Now , out of 57 people in the fitness suite there are 36 people who are doing both fitness suite & swimming pool.
Therefore, people who are doing only fitness suite is = (57-36 ) = 21.
Again , out of 49 people in the swimming pool there are 36 people who are doing both fitness suite & swimming pool.
Therefore, people who are doing only swimming pool is = (49-36 ) = 13.
Therefore, total number of people doing fitness suite & swimming pool = 21+13+36 = 70.
Therefore, there are (100-70)=30 people who doing nothing.
please see , The required Venn diagram in the attachment _
This exercise is necessary to have knowledge of combination, that is, to identify the sets, so we can say that:
From the data provided in the text we have that:
Therefore, people who are doing only fitness suite is
[tex]= (57-36 ) = 21[/tex]
Therefore, people who are doing only swimming pool is
[tex]= (49-36 ) = 13[/tex]
Therefore, total number of people doing fitness suite & swimming pool
[tex]= 21+13+36 = 70[/tex]
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