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