PSLE
On Saturday, the number of children to men to women visiting a museum was 3 : 10 : 6. On Sunday, the number of children visiting the museum remained the same. However, the number of men increased by 30% and the number of women decreased by 50%.

1. What was the ratio of the number of children to men to women visiting the museum on Sunday?
2. On Saturday, 512 men and women visited the museum. What was the total number of visitors at the museum on Sunday?

	Children	Men	Women
Before	3 u	10 u	6 u
Change		+ 3 u	- 3 u
After	3 u	13 u	3 u

(a)
Increase in the number of men
= 30% x 10 u
= ³⁰₁₀₀ x 10 u
= 3 u

Decrease in the number of women
= 50% x 6 u
= ⁵⁰₁₀₀ x 6 u
= 3 u

Number of men on Sunday
= 10 u + 3 u
= 13 u

Number of women on Sunday
= 6 u - 3 u
= 3 u

On Sunday
Children : Men : Women
3 : 13 : 3

(b)
Number of men and women on Saturday
= 10 u + 6 u
= 16 u

16 u = 512

1 u = 512 ÷ 16 = 32

Total number of visitors on Sunday
= 3 u + 13 u + 3 u
= 19 u
= 19 x 32
= 608

Answer(s): (a) 3 : 13 : 3; (b) 608