PSLE The pupils at a school choir are divided in Team A and Team B. The ratio of the number of boys to girls in Team A is 3 : 1. The ratio of the number of boys to girls in Team B is 3 : 5. There are 4 times as many pupils in Team B as in Team A. There are 27 less boys in Team A than Team B. What is the total number of pupils in Team A?
Team A |
Team B |
4 u |
8x2 = 16 u |
Boys |
Girls |
Boys |
Girls |
3 u |
1 u |
3x2 = 6 u |
5x2 = 10 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 less boys in Team A than Team B
= 6 u - 3 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total number of pupils in Team A
= 3 u + 1 u
= 4 u
= 4 x 9
= 36
Answer(s): 36