PSLE The pupils at a school choir are divided in Team A and Team B. The ratio of the number of girls to boys in Team A is 3 : 1. The ratio of the number of girls to boys in Team B is 5 : 3. There are 4 times as many pupils in Team B as in Team A. There are 35 more girls in Team B than Team A. What is the total number of pupils?
Team A |
Team B |
4 u |
8x2 = 16 u |
Girls |
Boys |
Girls |
Boys |
3 u |
1 u |
5x2 = 10 u |
3x2 = 6 u
|
Total number of pupils in Team A
= 3 u + 1 u
= 4 u
Total number of pupils in Team B
= 4 x 4 u
= 16 u
The total number of pupils in Team B is repeated.
Use LCM to make the total number of pupils in Team B the same.
LCM of 16 and 8 is 16.
Number of more girls in Team B than Team A
= 10 u - 3 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of pupils
= 3 u + 1 u + 10 u + 6 u
= 20 u
= 20 x 5
= 100
Answer(s): 100