PSLE
On Saturday, the number of children to men to women visiting a museum was 5 : 10 : 12. On Sunday, the number of children visiting the museum remained the same. However, the number of men decreased by 10% and the number of women increased by 25%.

1. What was the ratio of the number of adults to children visiting the museum on Sunday?
2. On Saturday, 814 men and women visited the museum. What was the total number of adult visitors at the museum on Sunday?

	Children	Men	Women
Before	5 u	10 u	12 u
Change		- 1 u	+ 3 u
After	5 u	9 u	15 u

(a)
Increase in the number of men
= 10% x 10 u
= ¹⁰₁₀₀ x 10 u
= 1 u

Decrease in the number of women
= 25% x 12 u
= ²⁵₁₀₀ x 12 u
= 3 u

Number of men on Sunday
= 10 u - 1 u
= 9 u

Number of women on Sunday
= 12 u + 3 u
= 15 u

Number of adults on Sunday
= 9 u + 15 u
= 24 u

On Sunday
Adults : Children
24 : 5

(b)
Number of men and women on Saturday
= 10 u + 12 u
= 22 u

22 u = 814

1 u = 814 ÷ 22 = 37

Total number of adult visitors on Sunday
= 24 u
= 24 x 37
= 888

Answer(s): (a) 24 : 5; (b) 888