A group of pupils took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: basketball, rugby or floorball.
56 of them voted for either basketball or rugby.
27 of them for either rugby or floorball. 45 of them voted for rugby. How many pupils took part in the survey?
Basketball |
Rugby |
Floorball |
Total |
5x7 |
1x7 |
6x7 |
5x6 |
2x6 |
7x6 |
30 u |
5 u |
7 u |
42 u |
The total number of pupils is unchanged. Make the total number of pupils the same. LCM of 6 and 7 is 42.
Number of pupils who voted for rugby = 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of pupils who took part in the survey
= 42 u
= 42 x 9
= 378
Answer(s): 378