PSLE The number of boys and girls in a school hall were in the ratio 3 : 7. After 4 boys entered the school hall and half the number of girls left the school hall, the ratio of the number of boys to girls became 1 : 1. How many children were there in the school hall at first?
|
boys |
girls |
Total |
Before |
3 u |
7 u |
10 u |
Change |
+ 4 |
- 3.5 u |
|
After |
3 u + 4 |
3.5 u |
|
Number of girls who left the school hall
= 7 u ÷ 2
= 3.5 u
Number of boys in the end = 3 u + 4
Number of girls in the end = 3.5 u
Since the ratio of the number of boys to girls in the end is 1 : 1, the number of boys and girls in the end is equal.
3.5 u = 3 u + 4
3.5 u - 3 u = 4
0.5 u = 4
1 u = 4 ÷ 0.5 = 8
Total number of children in the school hall at first
= 3 u + 7 u
= 10 u
= 10 x 8
= 80
Answer(s): 80