Kathy spent $54 on some mangosteens, pomegranates and chikoos in the ratio of 4 : 3 : 2. The number of mangosteens was ²₃ the number of pomegranates. The ratio of the number of chikoos to the number of pomegranates was 3 : 2. The mangosteens were sold at 2 for a dollar.

1. How many fruits did she buy altogether?
2. How much did each pomegranate cost?

Amount spent
Mangosteens	Pomegranates	Chikoos	Total
4 u	3 u	2 u	9 u

Total amount spent on fruits
= 4 u + 3 u + 2 u
= 9 u

9 u = 54

1 u = 54 ÷ 9 = 6

Amount that Kathy spent on mangosteens
= 4 u
= 4 x 6
= $24 

Total number of mangosteens that Kathy bought
= 24 x 2
= 48

Number of fruits bought
Mangosteens	Pomegranates	Chikoos
2x2	3x2
	2x3	3x3
4 p	6 p	9 p

The number of pomegranates bought is repeated.  Make the number of pomegranates the same.  LCM of 2 and 3 is 6.

4 p = 48

1 p = 48 ÷ 4 = 12

Total number of fruits that Kathy bought
= 4 p + 6 p + 9 p
= 19 p
= 19 x 12
= 228

(b)
Total number of pomegranates that Kathy bought
= 6 p
= 6 x 12
= 72

Total amount that Kathy paid for the pomegranates
= 3 u
= 3 x 6
= $18

Price of each pomegranate
= 18 ÷ 72
= $0.25 

Answer(s): (a) 228; (b) $0.25