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, tennis or aerobics.
34 of them voted for either floorball or tennis.
23 of them for either tennis or aerobics. 50 of them voted for tennis. How many students took part in the survey?
| Floorball |
Tennis |
Aerobics |
Total |
| 3x3 |
1x3 |
4x3 |
| 1x4 |
2x4 |
3x4 |
| 4 u |
5 u |
3 u |
12 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 4 and 3 is 12.
Number of students who voted for tennis = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total number of students who took part in the survey
= 12 u
= 12 x 10
= 120
Answer(s): 120
