PSLE On Monday, the number of children to women to men visiting a museum was 1 : 5 : 4. On Tuesday, the number of children visiting the museum remained the same. However, the number of women decreased by 20% and the number of men increased by 25%.
- What was the ratio of the number of adults to children visiting the museum on Tuesday?
- On Monday, 234 women and men visited the museum. What was the total number of adult visitors at the museum on Tuesday?
|
Children |
Women |
Men |
Before |
1 u |
5 u |
4 u |
Change |
|
- 1 u |
+ 1 u |
After |
1 u |
4 u |
5 u |
(a)
Increase in the number of women
= 20% x 5 u
=
20100 x 5 u
= 1 u
Decrease in the number of men
= 25% x 4 u
=
25100 x 4 u
= 1 u
Number of women on Tuesday
= 5 u - 1 u
= 4 u
Number of men on Tuesday
= 4 u + 1 u
= 5 u
Number of adults on Tuesday
= 4 u + 5 u
= 9 u
On Tuesday
Adults : Children
9 : 1
(b)
Number of women and men on Monday
= 5 u + 4 u
= 9 u
9 u = 234
1 u = 234 ÷ 9 = 26
Total number of adult visitors on Tuesday
= 9 u
= 9 x 26
= 234
Answer(s): (a) 9 : 1; (b) 234