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, floorball or basketball.
34 of them voted for either aerobics or floorball.
25 of them for either floorball or basketball. 24 of them voted for floorball. How many students took part in the survey?
| Aerobics |
Floorball |
Basketball |
Total |
| 3x5 |
1x5 |
4x5 |
| 3x4 |
2x4 |
5x4 |
| 12 u |
3 u |
5 u |
20 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 4 and 5 is 20.
Number of students who voted for floorball = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of students who took part in the survey
= 20 u
= 20 x 8
= 160
Answer(s): 160
