PSLE
On Tuesday, the number of children to men to women visiting a museum was 5 : 8 : 10. On Wednesday, the number of children visiting the museum remained the same. However, the number of men decreased by 25% and the number of women increased by 50%.

1. What was the ratio of the number of adults to children visiting the museum on Wednesday?
2. On Tuesday, 738 men and women visited the museum. What was the total number of adult visitors at the museum on Wednesday?

	Children	Men	Women
Before	5 u	8 u	10 u
Change		- 2 u	+ 5 u
After	5 u	6 u	15 u

(a)
Increase in the number of men
= 25% x 8 u
= ²⁵₁₀₀ x 8 u
= 2 u

Decrease in the number of women
= 50% x 10 u
= ⁵⁰₁₀₀ x 10 u
= 5 u

Number of men on Wednesday
= 8 u - 2 u
= 6 u

Number of women on Wednesday
= 10 u + 5 u
= 15 u

Number of adults on Wednesday
= 6 u + 15 u
= 21 u

On Wednesday
Adults : Children
21 : 5

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

18 u = 738

1 u = 738 ÷ 18 = 41

Total number of adult visitors on Wednesday
= 21 u
= 21 x 41
= 861

Answer(s): (a) 21 : 5; (b) 861