PSLE
On Monday, the number of children to women to men visiting a museum was 1 : 8 : 2. On Tuesday, the number of children visiting the museum remained the same. However, the number of women increased by 25% and the number of men decreased by 50%.

1. What was the ratio of the number of children to women to men visiting the museum on Tuesday?
2. On Monday, 310 women and men visited the museum. What was the total number of visitors at the museum on Tuesday?

	Children	Women	Men
Before	1 u	8 u	2 u
Change		+ 2 u	- 1 u
After	1 u	10 u	1 u

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

Decrease in the number of men
= 50% x 2 u
= ⁵⁰₁₀₀ x 2 u
= 1 u

Number of women on Tuesday
= 8 u + 2 u
= 10 u

Number of men on Tuesday
= 2 u - 1 u
= 1 u

On Tuesday
Children : Women : Men
1 : 10 : 1

(b)
Number of women and men on Monday
= 8 u + 2 u
= 10 u

10 u = 310

1 u = 310 ÷ 10 = 31

Total number of visitors on Tuesday
= 1 u + 10 u + 1 u
= 12 u
= 12 x 31
= 372

Answer(s): (a) 1 : 10 : 1; (b) 372