A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, jogging or tennis.
34 of them voted for either canoeing or jogging.
25 of them for either jogging or tennis. 9 of them voted for jogging. How many pupils took part in the survey?
| Canoeing |
Jogging |
Tennis |
Total |
| 3x5 |
1x5 |
4x5 |
| 3x4 |
2x4 |
5x4 |
| 12 u |
3 u |
5 u |
20 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 4 and 5 is 20.
Number of pupils who voted for jogging = 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total number of pupils who took part in the survey
= 20 u
= 20 x 3
= 60
Answer(s): 60
