A survey was conducted with some pupils.
29 of them chose volleyball as their favourite sport.
35 of the remaining pupils chose rugby.
12 of those left chose aerobic and the last 35 chose badminton. How many more pupils chose rugby than volleyball?
| Volleyball |
Rugby |
Aerobic |
Badminton |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
35 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose rugby, aerobic and badminton is repeated. Make the number of pupils who chose rugby, aerobic and badminton the same. LCM of 7 and 5 is 35.
Number of pupils who chose aerobic = 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of more pupils who chose rugby than volleyball
= 21 u - 10 u
= 11 u
= 11 x 5
= 55
Answer(s): 55
