A survey was conducted with some students.
29 of them chose fencing as their favourite sport.
35 of the remaining students chose aerobic.
12 of those left chose squash and the last 56 chose volleyball. How many more students chose aerobic than fencing?
| Fencing |
Aerobic |
Squash |
Volleyball |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
56 |
| 10 u |
21 u |
7 u |
7 u |
The number of students who chose aerobic, squash and volleyball is repeated. Make the number of students who chose aerobic, squash and volleyball the same. LCM of 7 and 5 is 35.
Number of students who chose squash = 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of more students who chose aerobic than fencing
= 21 u - 10 u
= 11 u
= 11 x 8
= 88
Answer(s): 88
