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, aerobics or squash.
45 of them voted for either canoeing or aerobics.
12 of them for either aerobics or squash. 27 of them voted for aerobics. How many pupils took part in the survey?
| Canoeing |
Aerobics |
Squash |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 5 and 2 is 10.
Number of pupils who voted for aerobics = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total number of pupils who took part in the survey
= 10 u
= 10 x 9
= 90
Answer(s): 90
