PSLE On Monday, the number of children to men to women visiting a park was 3 : 8 : 8. On Tuesday, the number of children visiting the park remained the same. However, the number of men increased by 25% and the number of women decreased by 25%.
- What was the ratio of the number of children to men to women visiting the park on Tuesday?
- On Monday, 752 men and women visited the park. What was the total number of visitors at the park on Tuesday?
|
Children |
Men |
Women |
Before |
3 u |
8 u |
8 u |
Change |
|
+ 2 u |
- 2 u |
After |
3 u |
10 u |
6 u |
(a)
Increase in the number of men
= 25% x 8 u
=
25100 x 8 u
= 2 u
Decrease in the number of women
= 25% x 8 u
=
25100 x 8 u
= 2 u
Number of men on Tuesday
= 8 u + 2 u
= 10 u
Number of women on Tuesday
= 8 u - 2 u
= 6 u
On Tuesday
Children : Men : Women
3 : 10 : 6
(b)
Number of men and women on Monday
= 8 u + 8 u
= 16 u
16 u = 752
1 u = 752 ÷ 16 = 47
Total number of visitors on Tuesday
= 3 u + 10 u + 6 u
= 19 u
= 19 x 47
= 893
Answer(s): (a) 3 : 10 : 6; (b) 893