A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: gymnastics, badminton or basketball.
57 of them voted for either gymnastics or badminton.
12 of them for either badminton or basketball. 18 of them voted for badminton. How many students took part in the survey?
| Gymnastics |
Badminton |
Basketball |
Total |
| 5x2 |
2x2 |
7x2 |
| 1x7 |
1x7 |
2x7 |
| 7 u |
3 u |
4 u |
14 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 7 and 2 is 14.
Number of students who voted for badminton = 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of students who took part in the survey
= 14 u
= 14 x 6
= 84
Answer(s): 84
