A survey was conducted with some pupils.
29 of them chose rugby as their favourite sport.
35 of the remaining pupils chose fencing.
12 of those left chose basketball and the last 49 chose swimming. How many more pupils chose fencing than rugby?
| Rugby |
Fencing |
Basketball |
Swimming |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
49 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose fencing, basketball and swimming is repeated. Make the number of pupils who chose fencing, basketball and swimming the same. LCM of 7 and 5 is 35.
Number of pupils who chose basketball = 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of more pupils who chose fencing than rugby
= 21 u - 10 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
