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