A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: fencing, golf or basketball.
45 of them voted for either fencing or golf.
12 of them for either golf or basketball. 15 of them voted for golf. How many students took part in the survey?
| Fencing |
Golf |
Basketball |
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 golf = 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of students who took part in the survey
= 10 u
= 10 x 5
= 50
Answer(s): 50
