A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: badminton, basketball or soccer.
45 of them voted for either badminton or basketball.
12 of them for either basketball or soccer. 33 of them voted for basketball. How many students took part in the survey?
| Badminton |
Basketball |
Soccer |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 5 and 2 is 10.
Number of students who voted for basketball = 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of students who took part in the survey
= 10 u
= 10 x 11
= 110
Answer(s): 110
