PSLE The students at a sports meet are divided in Team A and Team B. The ratio of the number of boys to girls in Team A is 4 : 1. The ratio of the number of boys to girls in Team B is 3 : 1. There are 4 times as many students in Team B as in Team A. There are 22 more boys in Team B than Team A. What is the total number of girls?
Team A |
Team B |
5 u |
4x5 = 20 u |
Boys |
Girls |
Boys |
Girls |
4 u |
1 u |
3x5 = 15 u |
1x5 = 5 u
|
Total number of students in Team A
= 4 u + 1 u
= 5 u
Total number of students in Team B
= 4 x 5 u
= 20 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 20 and 4 is 20.
Number of more boys in Team B than Team A
= 15 u - 4 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total number of girls
= 1 u + 5 u
= 6 u
= 6 x 2
= 12
Answer(s): 12