PSLE
On Friday, the number of children to men to women visiting a theme park was 7 : 2 : 10. On Saturday, the number of children visiting the theme park remained the same. However, the number of men decreased by 50% and the number of women increased by 10%.

1. What was the ratio of the number of adults to children visiting the theme park on Saturday?
2. On Friday, 540 men and women visited the theme park. What was the total number of adult visitors at the theme park on Saturday?

	Children	Men	Women
Before	7 u	2 u	10 u
Change		- 1 u	+ 1 u
After	7 u	1 u	11 u

(a)
Increase in the number of men
= 50% x 2 u
= ⁵⁰₁₀₀ x 2 u
= 1 u

Decrease in the number of women
= 10% x 10 u
= ¹⁰₁₀₀ x 10 u
= 1 u

Number of men on Saturday
= 2 u - 1 u
= 1 u

Number of women on Saturday
= 10 u + 1 u
= 11 u

Number of adults on Saturday
= 1 u + 11 u
= 12 u

On Saturday
Adults : Children
12 : 7

(b)
Number of men and women on Friday
= 2 u + 10 u
= 12 u

12 u = 540

1 u = 540 ÷ 12 = 45

Total number of adult visitors on Saturday
= 12 u
= 12 x 45
= 540

Answer(s): (a) 12 : 7; (b) 540