PSLE On Saturday, the number of children to men to women visiting a tourist attraction was 5 : 10 : 6. On Sunday, the number of children visiting the tourist attraction remained the same. However, the number of men increased by 50% and the number of women decreased by 50%.
- What was the ratio of the number of children to men to women visiting the tourist attraction on Sunday?
- On Saturday, 704 men and women visited the tourist attraction. What was the total number of visitors at the tourist attraction on Sunday?
|
Children |
Men |
Women |
Before |
5 u |
10 u |
6 u |
Change |
|
+ 5 u |
- 3 u |
After |
5 u |
15 u |
3 u |
(a)
Increase in the number of men
= 50% x 10 u
=
50100 x 10 u
= 5 u
Decrease in the number of women
= 50% x 6 u
=
50100 x 6 u
= 3 u
Number of men on Sunday
= 10 u + 5 u
= 15 u
Number of women on Sunday
= 6 u - 3 u
= 3 u
On Sunday
Children : Men : Women
5 : 15 : 3
(b)
Number of men and women on Saturday
= 10 u + 6 u
= 16 u
16 u = 704
1 u = 704 ÷ 16 = 44
Total number of visitors on Sunday
= 5 u + 15 u + 3 u
= 23 u
= 23 x 44
= 1012
Answer(s): (a) 5 : 15 : 3; (b) 1012