A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: floorball, golf or fencing.
58 of them voted for either floorball or golf.
23 of them for either golf or fencing. 56 of them voted for golf. How many pupils took part in the survey?
Floorball |
Golf |
Fencing |
Total |
5x3 |
3x3 |
8x3 |
1x8 |
2x8 |
3x8 |
8 u |
7 u |
9 u |
24 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 8 and 3 is 24.
Number of pupils who voted for golf = 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of pupils who took part in the survey
= 24 u
= 24 x 8
= 192
Answer(s): 192