PSLE On Monday, the number of children to women to men visiting a museum was 5 : 12 : 8. On Tuesday, the number of children visiting the museum remained the same. However, the number of women decreased by 50% and the number of men increased by 50%.
- What was the ratio of the number of adults to children visiting the museum on Tuesday?
- On Monday, 980 women and men visited the museum. What was the total number of adult visitors at the museum on Tuesday?
|
Children |
Women |
Men |
Before |
5 u |
12 u |
8 u |
Change |
|
- 6 u |
+ 4 u |
After |
5 u |
6 u |
12 u |
(a)
Increase in the number of women
= 50% x 12 u
=
50100 x 12 u
= 6 u
Decrease in the number of men
= 50% x 8 u
=
50100 x 8 u
= 4 u
Number of women on Tuesday
= 12 u - 6 u
= 6 u
Number of men on Tuesday
= 8 u + 4 u
= 12 u
Number of adults on Tuesday
= 6 u + 12 u
= 18 u
On Tuesday
Adults : Children
18 : 5
(b)
Number of women and men on Monday
= 12 u + 8 u
= 20 u
20 u = 980
1 u = 980 ÷ 20 = 49
Total number of adult visitors on Tuesday
= 18 u
= 18 x 49
= 882
Answer(s): (a) 18 : 5; (b) 882