PSLE
On Monday, the number of children to women to men visiting a museum was 3 : 8 : 5. On Tuesday, the number of children visiting the museum remained the same. However, the number of women decreased by 50% and the number of men increased by 20%.

1. What was the ratio of the number of adults to children visiting the museum on Tuesday?
2. On Monday, 416 women and men visited the museum. What was the total number of adult visitors at the museum on Tuesday?

	Children	Women	Men
Before	3 u	8 u	5 u
Change		- 4 u	+ 1 u
After	3 u	4 u	6 u

(a)
Increase in the number of women
= 50% x 8 u
= ⁵⁰₁₀₀ x 8 u
= 4 u

Decrease in the number of men
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Number of women on Tuesday
= 8 u - 4 u
= 4 u

Number of men on Tuesday
= 5 u + 1 u
= 6 u

Number of adults on Tuesday
= 4 u + 6 u
= 10 u

On Tuesday
Adults : Children
10 : 3

(b)
Number of women and men on Monday
= 8 u + 5 u
= 13 u

13 u = 416

1 u = 416 ÷ 13 = 32

Total number of adult visitors on Tuesday
= 10 u
= 10 x 32
= 320

Answer(s): (a) 10 : 3; (b) 320