A survey asked whether some students went swimming (S) or played tennis (T) last month - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Question 7
A survey asked whether some students went swimming (S) or played tennis (T) last month.
- 17 played tennis.
- 11 did not go swimming and did not play tennis.
- 22 w... show full transcript
Worked Solution & Example Answer:A survey asked whether some students went swimming (S) or played tennis (T) last month - OCR - GCSE Maths - Question 7 - 2019 - Paper 1
Step 1
Calculate total number of students who played tennis (T)
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Answer
From the information provided, we know that 17 students played tennis, and 8 of them also went swimming. Therefore, the number of students that only played tennis is:
17−8=9
So, there are 9 students who only played tennis.
Step 2
Calculate total number of students who went swimming (S)
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Answer
There are 22 students who went swimming, which includes those who also played tennis. Therefore, the number of students who only went swimming is:
22−8=14
So, there are 14 students who only went swimming.
Step 3
Combine all groups to find total number of students surveyed
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Answer
Now, we can sum the total number of students as follows:
Students who only played tennis: 9
Students who only went swimming: 14
Students who played both tennis and went swimming: 8
Students who did not participate in either activity: 11
Thus, the total number of students surveyed is:
9+14+8+11=42
Therefore, the total number of students in the survey is 42.
