PSLE The contestants at a contest are divided in Group A and Group B. The ratio of the number of boys to girls in Group A is 7 : 1. The ratio of the number of boys to girls in Group B is 11 : 1. There are 3 times as many contestants in Group B as in Group A. There are 180 more boys in Group B than Group A. What is the total number of girls?
Group A |
Group B |
8 u |
12x2 = 24 u |
Boys |
Girls |
Boys |
Girls |
7 u |
1 u |
11x2 = 22 u |
1x2 = 2 u
|
Total number of contestants in Group A
= 7 u + 1 u
= 8 u
Total number of contestants in Group B
= 3 x 8 u
= 24 u
The total number of contestants in Group B is repeated.
Use LCM to make the total number of contestants in Group B the same.
LCM of 24 and 12 is 24.
Number of more boys in Group B than Group A
= 22 u - 7 u
= 15 u
15 u = 180
1 u = 180 ÷ 15 = 12
Total number of girls
= 1 u + 2 u
= 3 u
= 3 x 12
= 36
Answer(s): 36