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 7 : 3. The ratio of the number of girls to boys in Team B is 11 : 4. There are 3 times as many students in Team B as in Team A. There are 210 more girls in Team B than Team A. What is the total number of boys?
Team A |
Team B |
10 u |
15x2 = 30 u |
Girls |
Boys |
Girls |
Boys |
7 u |
3 u |
11x2 = 22 u |
4x2 = 8 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 girls in Team B than Team A
= 22 u - 7 u
= 15 u
15 u = 210
1 u = 210 ÷ 15 = 14
Total number of boys
= 3 u + 8 u
= 11 u
= 11 x 14
= 154
Answer(s): 154