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