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