A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: squash, badminton or canoeing.
57 of them voted for either squash or badminton.
23 of them for either badminton or canoeing. 40 of them voted for badminton. How many pupils took part in the survey?
| Squash |
Badminton |
Canoeing |
Total |
| 5x3 |
2x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| 7 u |
8 u |
6 u |
21 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 7 and 3 is 21.
Number of pupils who voted for badminton = 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total number of pupils who took part in the survey
= 21 u
= 21 x 5
= 105
Answer(s): 105
