PSLE On Tuesday, the number of children to men to women visiting a museum was 5 : 5 : 2. On Wednesday, the number of children visiting the museum remained the same. However, the number of men decreased by 20% and the number of women increased by 50%.
- What was the ratio of the number of adults to children visiting the museum on Wednesday?
- On Tuesday, 252 men and women visited the museum. What was the total number of adult visitors at the museum on Wednesday?
|
Children |
Men |
Women |
Before |
5 u |
5 u |
2 u |
Change |
|
- 1 u |
+ 1 u |
After |
5 u |
4 u |
3 u |
(a)
Increase in the number of men
= 20% x 5 u
=
20100 x 5 u
= 1 u
Decrease in the number of women
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of men on Wednesday
= 5 u - 1 u
= 4 u
Number of women on Wednesday
= 2 u + 1 u
= 3 u
Number of adults on Wednesday
= 4 u + 3 u
= 7 u
On Wednesday
Adults : Children
7 : 5
(b)
Number of men and women on Tuesday
= 5 u + 2 u
= 7 u
7 u = 252
1 u = 252 ÷ 7 = 36
Total number of adult visitors on Wednesday
= 7 u
= 7 x 36
= 252
Answer(s): (a) 7 : 5; (b) 252