PSLE On Monday, the number of children to men to women visiting a museum was 7 : 4 : 10. On Tuesday, the number of children visiting the museum remained the same. However, the number of men decreased by 25% and the number of women increased by 50%.
- What was the ratio of the number of adults to children visiting the museum on Tuesday?
- On Monday, 476 men and women visited the museum. What was the total number of adult visitors at the museum on Tuesday?
|
Children |
Men |
Women |
Before |
7 u |
4 u |
10 u |
Change |
|
- 1 u |
+ 5 u |
After |
7 u |
3 u |
15 u |
(a)
Increase in the number of men
= 25% x 4 u
=
25100 x 4 u
= 1 u
Decrease in the number of women
= 50% x 10 u
=
50100 x 10 u
= 5 u
Number of men on Tuesday
= 4 u - 1 u
= 3 u
Number of women on Tuesday
= 10 u + 5 u
= 15 u
Number of adults on Tuesday
= 3 u + 15 u
= 18 u
On Tuesday
Adults : Children
18 : 7
(b)
Number of men and women on Monday
= 4 u + 10 u
= 14 u
14 u = 476
1 u = 476 ÷ 14 = 34
Total number of adult visitors on Tuesday
= 18 u
= 18 x 34
= 612
Answer(s): (a) 18 : 7; (b) 612