A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: tennis, fencing or floorball.
34 of them voted for either tennis or fencing.
25 of them for either fencing or floorball. 18 of them voted for fencing. How many students took part in the survey?
Tennis |
Fencing |
Floorball |
Total |
3x5 |
1x5 |
4x5 |
3x4 |
2x4 |
5x4 |
12 u |
3 u |
5 u |
20 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 4 and 5 is 20.
Number of students who voted for fencing = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of students who took part in the survey
= 20 u
= 20 x 6
= 120
Answer(s): 120