PSLE On Saturday, the number of children to men to women visiting a tourist attraction was 1 : 10 : 10. On Sunday, the number of children visiting the tourist attraction remained the same. However, the number of men increased by 30% and the number of women decreased by 10%.
- What was the ratio of the number of children to men to women visiting the tourist attraction on Sunday?
- On Saturday, 680 men and women visited the tourist attraction. What was the total number of visitors at the tourist attraction on Sunday?
|
Children |
Men |
Women |
Before |
1 u |
10 u |
10 u |
Change |
|
+ 3 u |
- 1 u |
After |
1 u |
13 u |
9 u |
(a)
Increase in the number of men
= 30% x 10 u
=
30100 x 10 u
= 3 u
Decrease in the number of women
= 10% x 10 u
=
10100 x 10 u
= 1 u
Number of men on Sunday
= 10 u + 3 u
= 13 u
Number of women on Sunday
= 10 u - 1 u
= 9 u
On Sunday
Children : Men : Women
1 : 13 : 9
(b)
Number of men and women on Saturday
= 10 u + 10 u
= 20 u
20 u = 680
1 u = 680 ÷ 20 = 34
Total number of visitors on Sunday
= 1 u + 13 u + 9 u
= 23 u
= 23 x 34
= 782
Answer(s): (a) 1 : 13 : 9; (b) 782