A survey was conducted with some students.
29 of them chose rugby as their favourite sport.
35 of the remaining students chose badminton.
12 of those left chose floorball and the last 84 chose squash. How many more students chose badminton than rugby?
| Rugby |
Badminton |
Floorball |
Squash |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
84 |
| 10 u |
21 u |
7 u |
7 u |
The number of students who chose badminton, floorball and squash is repeated. Make the number of students who chose badminton, floorball and squash the same. LCM of 7 and 5 is 35.
Number of students who chose floorball = 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of more students who chose badminton than rugby
= 21 u - 10 u
= 11 u
= 11 x 12
= 132
Answer(s): 132
