A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: swimming, jogging or volleyball.
45 of them voted for either swimming or jogging.
23 of them for either jogging or volleyball. 35 of them voted for jogging. How many students took part in the survey?
| Swimming |
Jogging |
Volleyball |
Total |
| 4x3 |
1x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| 5 u |
7 u |
3 u |
15 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 5 and 3 is 15.
Number of students who voted for jogging = 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of students who took part in the survey
= 15 u
= 15 x 5
= 75
Answer(s): 75
