Zoe spent $60 on some kiwis, pomegranates and mangosteens in the ratio of 2 : 3 : 1. The number of kiwis was ⁴₅ the number of pomegranates. The ratio of the number of mangosteens to the number of pomegranates was 3 : 1. The kiwis were sold at 4 for a dollar.

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

Amount spent
Kiwis	Pomegranates	Mangosteens	Total
2 u	3 u	1 u	6 u

Total amount spent on fruits
= 2 u + 3 u + 1 u
= 6 u

6 u = 60

1 u = 60 ÷ 6 = 10

Amount that Zoe spent on kiwis
= 2 u
= 2 x 10
= $20 

Total number of kiwis that Zoe bought
= 20 x 4
= 80

Number of fruits bought
Kiwis	Pomegranates	Mangosteens
4x1	5x1
	1x5	3x5
4 p	5 p	15 p

The number of pomegranates bought is repeated.  Make the number of pomegranates the same.  LCM of 1 and 5 is 5.

4 p = 80

1 p = 80 ÷ 4 = 20

Total number of fruits that Zoe bought
= 4 p + 5 p + 15 p
= 24 p
= 24 x 20
= 480

(b)
Total number of pomegranates that Zoe bought
= 5 p
= 5 x 20
= 100

Total amount that Zoe paid for the pomegranates
= 3 u
= 3 x 10
= $30

Price of each pomegranate
= 30 ÷ 100
= $0.30 

Answer(s): (a) 480; (b) $0.30