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