A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: soccer, aerobics or basketball.
57 of them voted for either soccer or aerobics.
25 of them for either aerobics or basketball. 36 of them voted for aerobics. How many students took part in the survey?
Soccer |
Aerobics |
Basketball |
Total |
5x5 |
2x5 |
7x5 |
3x7 |
2x7 |
5x7 |
21 u |
4 u |
10 u |
35 u |
The total number of students is unchanged. Make the total number of students the same. LCM of 7 and 5 is 35.
Number of students who voted for aerobics = 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Total number of students who took part in the survey
= 35 u
= 35 x 9
= 315
Answer(s): 315