PSLE On Monday, the number of children to men to women visiting a bird park was 5 : 5 : 2. 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, 168 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 |
5 u |
2 u |
Change |
|
+ 1 u |
- 1 u |
After |
5 u |
6 u |
1 u |
(a)
Increase in the number of men
= 20% x 5 u
=
20100 x 5 u
= 1 u
Decrease in the number of women
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of men on Tuesday
= 5 u + 1 u
= 6 u
Number of women on Tuesday
= 2 u - 1 u
= 1 u
On Tuesday
Children : Men : Women
5 : 6 : 1
(b)
Number of men and women on Monday
= 5 u + 2 u
= 7 u
7 u = 168
1 u = 168 ÷ 7 = 24
Total number of visitors on Tuesday
= 5 u + 6 u + 1 u
= 12 u
= 12 x 24
= 288
Answer(s): (a) 5 : 6 : 1; (b) 288