A survey was conducted with some students.
29 of them chose badminton as their favourite sport.
35 of the remaining students chose volleyball.
12 of those left chose rugby and the last 14 chose basketball. How many more students chose volleyball than badminton?
Badminton |
Volleyball |
Rugby |
Basketball |
2x5 |
7x5 |
|
3x7 |
2x7 |
|
|
1x7 |
1x7 |
|
|
|
14 |
10 u |
21 u |
7 u |
7 u |
The number of students who chose volleyball, rugby and basketball is repeated. Make the number of students who chose volleyball, rugby and basketball the same. LCM of 7 and 5 is 35.
Number of students who chose rugby = 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of more students who chose volleyball than badminton
= 21 u - 10 u
= 11 u
= 11 x 2
= 22
Answer(s): 22