A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: rugby, fencing or soccer.
45 of them voted for either rugby or fencing.
23 of them for either fencing or soccer. 49 of them voted for fencing. How many pupils took part in the survey?
| Rugby |
Fencing |
Soccer |
Total |
| 4x3 |
1x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| 5 u |
7 u |
3 u |
15 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 5 and 3 is 15.
Number of pupils who voted for fencing = 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Total number of pupils who took part in the survey
= 15 u
= 15 x 7
= 105
Answer(s): 105
