PSLE
A caterer prepares seaweed chickens for some people attending the baby shower party. The ratio of the number of children to the number of adults attending is 3 : 4. Among the adults, the ratio of the number of men to the women is 1 : 3. A total of 119 seaweed chickens are prepared so that each child gets 3 seaweed chickens and each adult gets 2.

1. What fraction of the people attending the party are women?
2. How many adults are attending the party?

	Children	Adults		Total
Comparison between  the number of children and adults	3	4		7
		Men	Women
Comparison between the number of children and adults		1	3
Number	3 u	1 u	3 u	7 u
Value	3	2	2
Total value	9 u	2 u	6 u	17 u

(a)
Fraction of the people that are adults = ⁴₇

Fraction of the adults that are women = ³₄

Fraction of the people that are women
= ⁴₇ x ³₄
= ³₇

(b)
Total number of seaweed chickens
= (3 u x 3) + (4 u x 2)
= 9 u + 8 u
= 17 u

17 u = 119

1 u = 119 ÷ 17 = 7

Number of adults
= 1 u + 3 u
= 4 u
= 4 x 7
= 28

Answer(s): (a) ³₇; (b) 28