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