PSLE
On Monday, the number of children to men to women visiting a tourist attraction was 1 : 10 : 4. On Tuesday, the number of children visiting the tourist attraction remained the same. However, the number of men decreased by 20% and the number of women increased by 25%.

1. What was the ratio of the number of adults to children visiting the tourist attraction on Tuesday?
2. On Monday, 420 men and women visited the tourist attraction. What was the total number of adult visitors at the tourist attraction on Tuesday?

	Children	Men	Women
Before	1 u	10 u	4 u
Change		- 2 u	+ 1 u
After	1 u	8 u	5 u

(a)
Increase in the number of men
= 20% x 10 u
= ²⁰₁₀₀ x 10 u
= 2 u

Decrease in the number of women
= 25% x 4 u
= ²⁵₁₀₀ x 4 u
= 1 u

Number of men on Tuesday
= 10 u - 2 u
= 8 u

Number of women on Tuesday
= 4 u + 1 u
= 5 u

Number of adults on Tuesday
= 8 u + 5 u
= 13 u

On Tuesday
Adults : Children
13 : 1

(b)
Number of men and women on Monday
= 10 u + 4 u
= 14 u

14 u = 420

1 u = 420 ÷ 14 = 30

Total number of adult visitors on Tuesday
= 13 u
= 13 x 30
= 390

Answer(s): (a) 13 : 1; (b) 390