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