A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: fencing, soccer or gymnastics.
57 of them voted for either fencing or soccer.
23 of them for either soccer or gymnastics. 48 of them voted for soccer. How many students took part in the survey?
| Fencing |
Soccer |
Gymnastics |
Total |
| 5x3 |
2x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| 7 u |
8 u |
6 u |
21 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 7 and 3 is 21.
Number of students who voted for soccer = 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Total number of students who took part in the survey
= 21 u
= 21 x 6
= 126
Answer(s): 126
