PSLE
On Wednesday, the number of children to men to women visiting a museum was 5 : 12 : 10. On Thursday, the number of children visiting the museum remained the same. However, the number of men decreased by 50% and the number of women increased by 20%.

1. What was the ratio of the number of adults to children visiting the museum on Thursday?
2. On Wednesday, 726 men and women visited the museum. What was the total number of adult visitors at the museum on Thursday?

	Children	Men	Women
Before	5 u	12 u	10 u
Change		- 6 u	+ 2 u
After	5 u	6 u	12 u

(a)
Increase in the number of men
= 50% x 12 u
= ⁵⁰₁₀₀ x 12 u
= 6 u

Decrease in the number of women
= 20% x 10 u
= ²⁰₁₀₀ x 10 u
= 2 u

Number of men on Thursday
= 12 u - 6 u
= 6 u

Number of women on Thursday
= 10 u + 2 u
= 12 u

Number of adults on Thursday
= 6 u + 12 u
= 18 u

On Thursday
Adults : Children
18 : 5

(b)
Number of men and women on Wednesday
= 12 u + 10 u
= 22 u

22 u = 726

1 u = 726 ÷ 22 = 33

Total number of adult visitors on Thursday
= 18 u
= 18 x 33
= 594

Answer(s): (a) 18 : 5; (b) 594