PSLE On Monday, the number of children to men to women visiting a tourist attraction was 3 : 5 : 5. On Tuesday, the number of children visiting the tourist attraction remained the same. However, the number of men increased by 40% and the number of women decreased by 40%.
- What was the ratio of the number of children to men to women visiting the tourist attraction on Tuesday?
- On Monday, 230 men and women visited the tourist attraction. What was the total number of visitors at the tourist attraction on Tuesday?
|
Children |
Men |
Women |
Before |
3 u |
5 u |
5 u |
Change |
|
+ 2 u |
- 2 u |
After |
3 u |
7 u |
3 u |
(a)
Increase in the number of men
= 40% x 5 u
=
40100 x 5 u
= 2 u
Decrease in the number of women
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of men on Tuesday
= 5 u + 2 u
= 7 u
Number of women on Tuesday
= 5 u - 2 u
= 3 u
On Tuesday
Children : Men : Women
3 : 7 : 3
(b)
Number of men and women on Monday
= 5 u + 5 u
= 10 u
10 u = 230
1 u = 230 ÷ 10 = 23
Total number of visitors on Tuesday
= 3 u + 7 u + 3 u
= 13 u
= 13 x 23
= 299
Answer(s): (a) 3 : 7 : 3; (b) 299