PSLE On Wednesday, the number of children to men to women visiting a park was 5 : 4 : 2. On Thursday, the number of children visiting the park 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 park on Thursday?
- On Wednesday, 282 men and women visited the park. What was the total number of visitors at the park on Thursday?
|
Children |
Men |
Women |
Before |
5 u |
4 u |
2 u |
Change |
|
+ 2 u |
- 1 u |
After |
5 u |
6 u |
1 u |
(a)
Increase in the number of men
= 50% x 4 u
=
50100 x 4 u
= 2 u
Decrease in the number of women
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of men on Thursday
= 4 u + 2 u
= 6 u
Number of women on Thursday
= 2 u - 1 u
= 1 u
On Thursday
Children : Men : Women
5 : 6 : 1
(b)
Number of men and women on Wednesday
= 4 u + 2 u
= 6 u
6 u = 282
1 u = 282 ÷ 6 = 47
Total number of visitors on Thursday
= 5 u + 6 u + 1 u
= 12 u
= 12 x 47
= 564
Answer(s): (a) 5 : 6 : 1; (b) 564