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 7 : 8. There are 3 times as many students in Team B as in Team A. There are 56 more boys in Team B than Team A. What is the total number of girls?
Team A |
Team B |
10 u |
15x2 = 30 u |
Boys |
Girls |
Boys |
Girls |
7 u |
3 u |
7x2 = 14 u |
8x2 = 16 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
= 14 u - 7 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of girls
= 3 u + 16 u
= 19 u
= 19 x 8
= 152
Answer(s): 152