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