A survey was conducted with some pupils.
29 of them chose tennis as their favourite sport.
35 of the remaining pupils chose gymnastics.
12 of those left chose fencing and the last 77 chose canoeing. How many more pupils chose gymnastics than tennis?
| Tennis |
Gymnastics |
Fencing |
Canoeing |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
77 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose gymnastics, fencing and canoeing is repeated. Make the number of pupils who chose gymnastics, fencing and canoeing the same. LCM of 7 and 5 is 35.
Number of pupils who chose fencing = 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of more pupils who chose gymnastics than tennis
= 21 u - 10 u
= 11 u
= 11 x 11
= 121
Answer(s): 121
