A survey was conducted with some students.
29 of them chose squash as their favourite sport.
35 of the remaining students chose rugby.
12 of those left chose badminton and the last 56 chose soccer. How many more students chose rugby than squash?
| Squash |
Rugby |
Badminton |
Soccer |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
56 |
| 10 u |
21 u |
7 u |
7 u |
The number of students who chose rugby, badminton and soccer is repeated. Make the number of students who chose rugby, badminton and soccer the same. LCM of 7 and 5 is 35.
Number of students who chose badminton = 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of more students who chose rugby than squash
= 21 u - 10 u
= 11 u
= 11 x 8
= 88
Answer(s): 88
