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