A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: basketball, swimming or floorball.
58 of them voted for either basketball or swimming.
23 of them for either swimming or floorball. 77 of them voted for swimming. How many pupils took part in the survey?
| Basketball |
Swimming |
Floorball |
Total |
| 5x3 |
3x3 |
8x3 |
| 1x8 |
2x8 |
3x8 |
| 8 u |
7 u |
9 u |
24 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 8 and 3 is 24.
Number of pupils who voted for swimming = 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Total number of pupils who took part in the survey
= 24 u
= 24 x 11
= 264
Answer(s): 264
