A survey was conducted with some pupils.
29 of them chose volleyball as their favourite sport.
35 of the remaining pupils chose fencing.
12 of those left chose tennis and the last 14 chose swimming. How many more pupils chose fencing than volleyball?
Volleyball |
Fencing |
Tennis |
Swimming |
2x5 |
7x5 |
|
3x7 |
2x7 |
|
|
1x7 |
1x7 |
|
|
|
14 |
10 u |
21 u |
7 u |
7 u |
The number of pupils who chose fencing, tennis and swimming is repeated. Make the number of pupils who chose fencing, tennis and swimming the same. LCM of 7 and 5 is 35.
Number of pupils who chose tennis = 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of more pupils who chose fencing than volleyball
= 21 u - 10 u
= 11 u
= 11 x 2
= 22
Answer(s): 22