A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: aerobics, canoeing or soccer.
37 of them voted for either aerobics or canoeing.
23 of them for either canoeing or soccer. 12 of them voted for canoeing. How many students took part in the survey?
| Aerobics |
Canoeing |
Soccer |
Total |
| 3x3 |
4x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| 7 u |
2 u |
12 u |
21 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 7 and 3 is 21.
Number of students who voted for canoeing = 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Total number of students who took part in the survey
= 21 u
= 21 x 6
= 126
Answer(s): 126
