A survey was conducted with some pupils.
29 of them chose squash as their favourite sport.
35 of the remaining pupils chose gymnastics.
12 of those left chose basketball and the last 21 chose fencing. How many more pupils chose gymnastics than squash?
| Squash |
Gymnastics |
Basketball |
Fencing |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
21 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose gymnastics, basketball and fencing is repeated. Make the number of pupils who chose gymnastics, basketball and fencing the same. LCM of 7 and 5 is 35.
Number of pupils who chose basketball = 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of more pupils who chose gymnastics than squash
= 21 u - 10 u
= 11 u
= 11 x 3
= 33
Answer(s): 33
