PSLE On Thursday, the number of children to men to women visiting a park was 5 : 5 : 4. On Friday, the number of children visiting the park remained the same. However, the number of men increased by 40% and the number of women decreased by 50%.
- What was the ratio of the number of children to men to women visiting the park on Friday?
- On Thursday, 180 men and women visited the park. What was the total number of visitors at the park on Friday?
|
Children |
Men |
Women |
Before |
5 u |
5 u |
4 u |
Change |
|
+ 2 u |
- 2 u |
After |
5 u |
7 u |
2 u |
(a)
Increase in the number of men
= 40% x 5 u
=
40100 x 5 u
= 2 u
Decrease in the number of women
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of men on Friday
= 5 u + 2 u
= 7 u
Number of women on Friday
= 4 u - 2 u
= 2 u
On Friday
Children : Men : Women
5 : 7 : 2
(b)
Number of men and women on Thursday
= 5 u + 4 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Total number of visitors on Friday
= 5 u + 7 u + 2 u
= 14 u
= 14 x 20
= 280
Answer(s): (a) 5 : 7 : 2; (b) 280