PSLE On Monday, the number of children to men to women visiting a bird park was 5 : 10 : 8. On Tuesday, the number of children visiting the bird park remained the same. However, the number of men increased by 20% and the number of women decreased by 50%.
- What was the ratio of the number of children to men to women visiting the bird park on Tuesday?
- On Monday, 756 men and women visited the bird park. What was the total number of visitors at the bird park on Tuesday?
|
Children |
Men |
Women |
Before |
5 u |
10 u |
8 u |
Change |
|
+ 2 u |
- 4 u |
After |
5 u |
12 u |
4 u |
(a)
Increase in the number of men
= 20% x 10 u
=
20100 x 10 u
= 2 u
Decrease in the number of women
= 50% x 8 u
=
50100 x 8 u
= 4 u
Number of men on Tuesday
= 10 u + 2 u
= 12 u
Number of women on Tuesday
= 8 u - 4 u
= 4 u
On Tuesday
Children : Men : Women
5 : 12 : 4
(b)
Number of men and women on Monday
= 10 u + 8 u
= 18 u
18 u = 756
1 u = 756 ÷ 18 = 42
Total number of visitors on Tuesday
= 5 u + 12 u + 4 u
= 21 u
= 21 x 42
= 882
Answer(s): (a) 5 : 12 : 4; (b) 882