A survey was conducted with some pupils.
29 of them chose basketball as their favourite sport.
35 of the remaining pupils chose gymnastics.
12 of those left chose fencing and the last 42 chose golf. How many more pupils chose gymnastics than basketball?
| Basketball |
Gymnastics |
Fencing |
Golf |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
42 |
| 10 u |
21 u |
7 u |
7 u |
The number of pupils who chose gymnastics, fencing and golf is repeated. Make the number of pupils who chose gymnastics, fencing and golf the same. LCM of 7 and 5 is 35.
Number of pupils who chose fencing = 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of more pupils who chose gymnastics than basketball
= 21 u - 10 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
