A survey was conducted with some students.
29 of them chose badminton as their favourite sport.
35 of the remaining students chose floorball.
12 of those left chose swimming and the last 84 chose soccer. How many more students chose floorball than badminton?
Badminton |
Floorball |
Swimming |
Soccer |
2x5 |
7x5 |
|
3x7 |
2x7 |
|
|
1x7 |
1x7 |
|
|
|
84 |
10 u |
21 u |
7 u |
7 u |
The number of students who chose floorball, swimming and soccer is repeated. Make the number of students who chose floorball, swimming and soccer the same. LCM of 7 and 5 is 35.
Number of students who chose swimming = 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of more students who chose floorball than badminton
= 21 u - 10 u
= 11 u
= 11 x 12
= 132
Answer(s): 132