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