A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: swimming, basketball or tennis.
57 of them voted for either swimming or basketball.
23 of them for either basketball or tennis. 56 of them voted for basketball. How many pupils took part in the survey?
| Swimming |
Basketball |
Tennis |
Total |
| 5x3 |
2x3 |
7x3 |
| 1x7 |
2x7 |
3x7 |
| 7 u |
8 u |
6 u |
21 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 7 and 3 is 21.
Number of pupils who voted for basketball = 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Total number of pupils who took part in the survey
= 21 u
= 21 x 7
= 147
Answer(s): 147
