A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: jogging, volleyball or fencing.
34 of them voted for either jogging or volleyball.
25 of them for either volleyball or fencing. 36 of them voted for volleyball. How many pupils took part in the survey?
Jogging |
Volleyball |
Fencing |
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 volleyball = 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Total number of pupils who took part in the survey
= 20 u
= 20 x 12
= 240
Answer(s): 240