PSLE
On Wednesday, the number of children to women to men visiting a theme park was 3 : 10 : 4. On Thursday, the number of children visiting the theme park remained the same. However, the number of women decreased by 10% and the number of men increased by 25%.

1. What was the ratio of the number of adults to children visiting the theme park on Thursday?
2. On Wednesday, 686 women and men visited the theme park. What was the total number of adult visitors at the theme park on Thursday?

	Children	Women	Men
Before	3 u	10 u	4 u
Change		- 1 u	+ 1 u
After	3 u	9 u	5 u

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

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

Number of women on Thursday
= 10 u - 1 u
= 9 u

Number of men on Thursday
= 4 u + 1 u
= 5 u

Number of adults on Thursday
= 9 u + 5 u
= 14 u

On Thursday
Adults : Children
14 : 3

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

14 u = 686

1 u = 686 ÷ 14 = 49

Total number of adult visitors on Thursday
= 14 u
= 14 x 49
= 686

Answer(s): (a) 14 : 3; (b) 686