A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: soccer, tennis or badminton.
57 of them voted for either soccer or tennis.
12 of them for either tennis or badminton. 24 of them voted for tennis. How many pupils took part in the survey?
| Soccer |
Tennis |
Badminton |
Total |
| 5x2 |
2x2 |
7x2 |
| 1x7 |
1x7 |
2x7 |
| 7 u |
3 u |
4 u |
14 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 7 and 2 is 14.
Number of pupils who voted for tennis = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total number of pupils who took part in the survey
= 14 u
= 14 x 8
= 112
Answer(s): 112
