PSLE
On Saturday, the number of children to women to men visiting a museum was 7 : 5 : 10. On Sunday, the number of children visiting the museum remained the same. However, the number of women increased by 20% and the number of men decreased by 30%.

1. What was the ratio of the number of children to women to men visiting the museum on Sunday?
2. On Saturday, 450 women and men visited the museum. What was the total number of visitors at the museum on Sunday?

	Children	Women	Men
Before	7 u	5 u	10 u
Change		+ 1 u	- 3 u
After	7 u	6 u	7 u

(a)
Increase in the number of women
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Decrease in the number of men
= 30% x 10 u
= ³⁰₁₀₀ x 10 u
= 3 u

Number of women on Sunday
= 5 u + 1 u
= 6 u

Number of men on Sunday
= 10 u - 3 u
= 7 u

On Sunday
Children : Women : Men
7 : 6 : 7

(b)
Number of women and men on Saturday
= 5 u + 10 u
= 15 u

15 u = 450

1 u = 450 ÷ 15 = 30

Total number of visitors on Sunday
= 7 u + 6 u + 7 u
= 20 u
= 20 x 30
= 600

Answer(s): (a) 7 : 6 : 7; (b) 600