A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: rugby, swimming or jogging.
57 of them voted for either rugby or swimming.
12 of them for either swimming or jogging. 33 of them voted for swimming. How many students took part in the survey?
| Rugby |
Swimming |
Jogging |
Total |
| 5x2 |
2x2 |
7x2 |
| 1x7 |
1x7 |
2x7 |
| 7 u |
3 u |
4 u |
14 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 7 and 2 is 14.
Number of students who voted for swimming = 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of students who took part in the survey
= 14 u
= 14 x 11
= 154
Answer(s): 154
