A survey was conducted with some pupils.
29 of them chose soccer as their favourite sport.
35 of the remaining pupils chose gymnastics.
12 of those left chose rugby and the last 70 chose fencing. How many more pupils chose gymnastics than soccer?
| Soccer |
Gymnastics |
Rugby |
Fencing |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
70 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose gymnastics, rugby and fencing is repeated. Make the number of pupils who chose gymnastics, rugby and fencing the same. LCM of 7 and 5 is 35.
Number of pupils who chose rugby = 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of more pupils who chose gymnastics than soccer
= 21 u - 10 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
