PSLE
On Monday, the number of children to men to women visiting a theme park was 5 : 10 : 8. On Tuesday, the number of children visiting the theme park 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 theme park on Tuesday?
2. On Monday, 540 men and women visited the theme park. What was the total number of adult visitors at the theme park on Tuesday?

	Children	Men	Women
Before	5 u	10 u	8 u
Change		- 1 u	+ 2 u
After	5 u	9 u	10 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 8 u
= ²⁵₁₀₀ x 8 u
= 2 u

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

Number of women on Tuesday
= 8 u + 2 u
= 10 u

Number of adults on Tuesday
= 9 u + 10 u
= 19 u

On Tuesday
Adults : Children
19 : 5

(b)
Number of men and women on Monday
= 10 u + 8 u
= 18 u

18 u = 540

1 u = 540 ÷ 18 = 30

Total number of adult visitors on Tuesday
= 19 u
= 19 x 30
= 570

Answer(s): (a) 19 : 5; (b) 570