A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: volleyball, floorball or fencing.
37 of them voted for either volleyball or floorball.
23 of them for either floorball or fencing. 24 of them voted for floorball. How many pupils took part in the survey?
| Volleyball |
Floorball |
Fencing |
Total |
| 3x3 |
4x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| 7 u |
2 u |
12 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 floorball = 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Total number of pupils who took part in the survey
= 21 u
= 21 x 12
= 252
Answer(s): 252
