A survey was conducted with some students.
29 of them chose badminton as their favourite sport.
35 of the remaining students chose tennis.
12 of those left chose basketball and the last 42 chose gymnastics. How many more students chose tennis than badminton?
| Badminton |
Tennis |
Basketball |
Gymnastics |
| 2x5 |
7x5 |
| |
3x7 |
2x7 |
| |
|
1x7 |
1x7 |
| |
|
|
42 |
| 10 u |
21 u |
7 u |
7 u |
The number of students who chose tennis, basketball and gymnastics is repeated. Make the number of students who chose tennis, basketball and gymnastics the same. LCM of 7 and 5 is 35.
Number of students who chose basketball = 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of more students who chose tennis than badminton
= 21 u - 10 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
