PSLE The number of girls and boys in a school hall were in the ratio 4 : 9. After 3.5 girls entered the school hall and half the number of boys left the school hall, the ratio of the number of girls to boys became 1 : 1. How many children were there in the school hall at first?
|
girls |
boys |
Total |
Before |
4 u |
9 u |
13 u |
Change |
+ 3.5 |
- 4.5 u |
|
After |
4 u + 3.5 |
4.5 u |
|
Number of boys who left the school hall
= 9 u ÷ 2
= 4.5 u
Number of girls in the end = 4 u + 3.5
Number of boys in the end = 4.5 u
Since the ratio of the number of girls to boys in the end is 1 : 1, the number of girls and boys in the end is equal.
4.5 u = 4 u + 3.5
4.5 u - 4 u = 3.5
0.5 u = 3.5
1 u = 3.5 ÷ 0.5 = 7
Total number of children in the school hall at first
= 4 u + 9 u
= 13 u
= 13 x 7
= 91
Answer(s): 91