PSLE On Monday, the number of children to women to men visiting a tourist attraction was 7 : 10 : 5. On Tuesday, the number of children visiting the tourist attraction remained the same. However, the number of women increased by 20% and the number of men decreased by 40%.
- What was the ratio of the number of children to women to men visiting the tourist attraction on Tuesday?
- On Monday, 660 women and men visited the tourist attraction. What was the total number of visitors at the tourist attraction on Tuesday?
|
Children |
Women |
Men |
Before |
7 u |
10 u |
5 u |
Change |
|
+ 2 u |
- 2 u |
After |
7 u |
12 u |
3 u |
(a)
Increase in the number of women
= 20% x 10 u
=
20100 x 10 u
= 2 u
Decrease in the number of men
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of women on Tuesday
= 10 u + 2 u
= 12 u
Number of men on Tuesday
= 5 u - 2 u
= 3 u
On Tuesday
Children : Women : Men
7 : 12 : 3
(b)
Number of women and men on Monday
= 10 u + 5 u
= 15 u
15 u = 660
1 u = 660 ÷ 15 = 44
Total number of visitors on Tuesday
= 7 u + 12 u + 3 u
= 22 u
= 22 x 44
= 968
Answer(s): (a) 7 : 12 : 3; (b) 968