A survey was conducted with some pupils.
29 of them chose golf as their favourite sport.
35 of the remaining pupils chose fencing.
12 of those left chose gymnastics and the last 70 chose badminton. How many more pupils chose fencing than golf?
Golf |
Fencing |
Gymnastics |
Badminton |
2x5 |
7x5 |
|
3x7 |
2x7 |
|
|
1x7 |
1x7 |
|
|
|
70 |
10 u |
21 u |
7 u |
7 u |
The number of pupils who chose fencing, gymnastics and badminton is repeated. Make the number of pupils who chose fencing, gymnastics and badminton the same. LCM of 7 and 5 is 35.
Number of pupils who chose gymnastics = 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of more pupils who chose fencing than golf
= 21 u - 10 u
= 11 u
= 11 x 10
= 110
Answer(s): 110