PSLE The students at a sports meet are divided in Group A and Group B. The ratio of the number of boys to girls in Group A is 7 : 3. The ratio of the number of boys to girls in Group B is 3 : 1. There are 2 times as many students in Group B as in Group A. There are 104 more boys in Group B than Group A. What is the total number of students?
Group A |
Group B |
10 u |
4x5 = 20 u |
Boys |
Girls |
Boys |
Girls |
7 u |
3 u |
3x5 = 15 u |
1x5 = 5 u
|
Total number of students in Group A
= 7 u + 3 u
= 10 u
Total number of students in Group B
= 2 x 10 u
= 20 u
The total number of students in Group B is repeated.
Use LCM to make the total number of students in Group B the same.
LCM of 20 and 4 is 20.
Number of more boys in Group B than Group A
= 15 u - 7 u
= 8 u
8 u = 104
1 u = 104 ÷ 8 = 13
Total number of students
= 7 u + 3 u + 15 u + 5 u
= 30 u
= 30 x 13
= 390
Answer(s): 390