PSLE The students at a sports meet are divided in Team A and Team B. The ratio of the number of girls to boys in Team A is 3 : 2. The ratio of the number of girls to boys in Team B is 1 : 1. There are 2 times as many students in Team B as in Team A. There are 16 more girls in Team B than Team A. What is the total number of students?
Team A |
Team B |
5 u |
2x5 = 10 u |
Girls |
Boys |
Girls |
Boys |
3 u |
2 u |
1x5 = 5 u |
1x5 = 5 u
|
Total number of students in Team A
= 3 u + 2 u
= 5 u
Total number of students in Team B
= 2 x 5 u
= 10 u
The total number of students in Team B is repeated.
Use LCM to make the total number of students in Team B the same.
LCM of 10 and 2 is 10.
Number of more girls in Team B than Team A
= 5 u - 3 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Total number of students
= 3 u + 2 u + 5 u + 5 u
= 15 u
= 15 x 8
= 120
Answer(s): 120