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