PSLE The pupils at a camp are divided in Team A and Team B. The ratio of the number of boys to girls in Team A is 7 : 3. The ratio of the number of boys to girls in Team B is 3 : 2. There are 2 times as many pupils in Team B as in Team A. There are 60 more boys in Team B than Team A. What is the total number of girls?
Team A |
Team B |
10 u |
5x4 = 20 u |
Boys |
Girls |
Boys |
Girls |
7 u |
3 u |
3x4 = 12 u |
2x4 = 8 u
|
Total number of pupils in Team A
= 7 u + 3 u
= 10 u
Total number of pupils in Team B
= 2 x 10 u
= 20 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 20 and 5 is 20.
Number of more boys in Team B than Team A
= 12 u - 7 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Total number of girls
= 3 u + 8 u
= 11 u
= 11 x 12
= 132
Answer(s): 132