PSLE The number of girls and boys in a tuck shop were in the ratio 3 : 7. After 4.5 girls entered the tuck shop and half the number of boys left the tuck shop, the ratio of the number of girls to boys became 1 : 1. How many children were there in the tuck shop at first?
|
girls |
boys |
Total |
Before |
3 u |
7 u |
10 u |
Change |
+ 4.5 |
- 3.5 u |
|
After |
3 u + 4.5 |
3.5 u |
|
Number of boys who left the tuck shop
= 7 u ÷ 2
= 3.5 u
Number of girls in the end = 3 u + 4.5
Number of boys in the end = 3.5 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.
3.5 u = 3 u + 4.5
3.5 u - 3 u = 4.5
0.5 u = 4.5
1 u = 4.5 ÷ 0.5 = 9
Total number of children in the tuck shop at first
= 3 u + 7 u
= 10 u
= 10 x 9
= 90
Answer(s): 90