A survey was conducted with some pupils.
29 of them chose badminton as their favourite sport.
35 of the remaining pupils chose aerobic.
12 of those left chose tennis and the last 77 chose canoeing. How many more pupils chose aerobic than badminton?
Badminton |
Aerobic |
Tennis |
Canoeing |
2x5 |
7x5 |
|
3x7 |
2x7 |
|
|
1x7 |
1x7 |
|
|
|
77 |
10 u |
21 u |
7 u |
7 u |
The number of pupils who chose aerobic, tennis and canoeing is repeated. Make the number of pupils who chose aerobic, tennis and canoeing the same. LCM of 7 and 5 is 35.
Number of pupils who chose tennis = 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of more pupils who chose aerobic than badminton
= 21 u - 10 u
= 11 u
= 11 x 11
= 121
Answer(s): 121