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 7 : 3. The ratio of the number of boys to girls in Team B is 13 : 2. There are 3 times as many students in Team B as in Team A. There are 133 more boys in Team B than Team A. What is the total number of students?
Team A |
Team B |
10 u |
15x2 = 30 u |
Boys |
Girls |
Boys |
Girls |
7 u |
3 u |
13x2 = 26 u |
2x2 = 4 u
|
Total number of students in Team A
= 7 u + 3 u
= 10 u
Total number of students in Team B
= 3 x 10 u
= 30 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 30 and 15 is 30.
Number of more boys in Team B than Team A
= 26 u - 7 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
Total number of students
= 7 u + 3 u + 26 u + 4 u
= 40 u
= 40 x 7
= 280
Answer(s): 280