A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: floorball, gymnastics or canoeing.
56 of them voted for either floorball or gymnastics.
27 of them for either gymnastics or canoeing. 35 of them voted for gymnastics. How many students took part in the survey?
| Floorball |
Gymnastics |
Canoeing |
Total |
| 5x7 |
1x7 |
6x7 |
| 5x6 |
2x6 |
7x6 |
| 30 u |
5 u |
7 u |
42 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 6 and 7 is 42.
Number of students who voted for gymnastics = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Total number of students who took part in the survey
= 42 u
= 42 x 7
= 294
Answer(s): 294
