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 4 : 1. The ratio of the number of girls to boys in Team B is 9 : 1. There are 4 times as many students in Team B as in Team A. There are 28 more girls in Team B than Team A. What is the total number of students?
Team A |
Team B |
5 u |
10x2 = 20 u |
Girls |
Boys |
Girls |
Boys |
4 u |
1 u |
9x2 = 18 u |
1x2 = 2 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 10 is 20.
Number of more girls in Team B than Team A
= 18 u - 4 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Total number of students
= 4 u + 1 u + 18 u + 2 u
= 25 u
= 25 x 2
= 50
Answer(s): 50