PSLE
On Monday, the number of children to men to women visiting a museum was 7 : 5 : 6. On Tuesday, the number of children visiting the museum remained the same. However, the number of men decreased by 20% and the number of women increased by 50%.

1. What was the ratio of the number of adults to children visiting the museum on Tuesday?
2. On Monday, 495 men and women visited the museum. What was the total number of adult visitors at the museum on Tuesday?

	Children	Men	Women
Before	7 u	5 u	6 u
Change		- 1 u	+ 3 u
After	7 u	4 u	9 u

(a)
Increase in the number of men
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Decrease in the number of women
= 50% x 6 u
= ⁵⁰₁₀₀ x 6 u
= 3 u

Number of men on Tuesday
= 5 u - 1 u
= 4 u

Number of women on Tuesday
= 6 u + 3 u
= 9 u

Number of adults on Tuesday
= 4 u + 9 u
= 13 u

On Tuesday
Adults : Children
13 : 7

(b)
Number of men and women on Monday
= 5 u + 6 u
= 11 u

11 u = 495

1 u = 495 ÷ 11 = 45

Total number of adult visitors on Tuesday
= 13 u
= 13 x 45
= 585

Answer(s): (a) 13 : 7; (b) 585