PSLE
On Tuesday, the number of children to men to women visiting a fun fair was 1 : 10 : 5. On Wednesday, the number of children visiting the fun fair remained the same. However, the number of men decreased by 10% and the number of women increased by 20%.

1. What was the ratio of the number of adults to children visiting the fun fair on Wednesday?
2. On Tuesday, 615 men and women visited the fun fair. What was the total number of adult visitors at the fun fair on Wednesday?

	Children	Men	Women
Before	1 u	10 u	5 u
Change		- 1 u	+ 1 u
After	1 u	9 u	6 u

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

Decrease in the number of women
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

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

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

Number of adults on Wednesday
= 9 u + 6 u
= 15 u

On Wednesday
Adults : Children
15 : 1

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

15 u = 615

1 u = 615 ÷ 15 = 41

Total number of adult visitors on Wednesday
= 15 u
= 15 x 41
= 615

Answer(s): (a) 15 : 1; (b) 615