A survey was conducted with some students.
29 of them chose fencing as their favourite sport.
35 of the remaining students chose rugby.
12 of those left chose squash and the last 28 chose gymnastics. How many more students chose rugby than fencing?
| Fencing |
Rugby |
Squash |
Gymnastics |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
28 |
| 10 u |
21 u |
7 u |
7 u |
The number of students who chose rugby, squash and gymnastics is repeated. Make the number of students who chose rugby, squash and gymnastics the same. LCM of 7 and 5 is 35.
Number of students who chose squash = 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of more students who chose rugby than fencing
= 21 u - 10 u
= 11 u
= 11 x 4
= 44
Answer(s): 44
