A survey was conducted with some pupils.
29 of them chose golf as their favourite sport.
35 of the remaining pupils chose volleyball.
12 of those left chose rugby and the last 49 chose gymnastics. How many more pupils chose volleyball than golf?
| Golf |
Volleyball |
Rugby |
Gymnastics |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
49 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose volleyball, rugby and gymnastics is repeated. Make the number of pupils who chose volleyball, rugby and gymnastics the same. LCM of 7 and 5 is 35.
Number of pupils who chose rugby = 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of more pupils who chose volleyball than golf
= 21 u - 10 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
