A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: tennis, aerobics or fencing.
45 of them voted for either tennis or aerobics.
13 of them for either aerobics or fencing. 6 of them voted for aerobics. How many pupils took part in the survey?
| Tennis |
Aerobics |
Fencing |
Total |
| 4x3 |
1x3 |
5x3 |
| 2x5 |
1x5 |
3x5 |
| 10 u |
2 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 aerobics = 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Total number of pupils who took part in the survey
= 15 u
= 15 x 3
= 45
Answer(s): 45
