Diana spent $27 on some kiwis, pomegranates and passion fruits in the ratio of 2 : 4 : 3. The number of kiwis was ²₅ the number of pomegranates. The ratio of the number of passion fruits to the number of pomegranates was 4 : 3. 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	Passion Fruits	Total
2 u	4 u	3 u	9 u

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Diana spent on kiwis
= 2 u
= 2 x 3
= $6 

Total number of kiwis that Diana bought
= 6 x 4
= 24

Number of fruits bought
Kiwis	Pomegranates	Passion Fruits
2x3	5x3
	3x5	4x5
6 p	15 p	20 p

The number of pomegranates bought is repeated.  Make the number of pomegranates the same.  LCM of 3 and 5 is 15.

6 p = 24

1 p = 24 ÷ 6 = 4

Total number of fruits that Diana bought
= 6 p + 15 p + 20 p
= 41 p
= 41 x 4
= 164

(b)
Total number of pomegranates that Diana bought
= 15 p
= 15 x 4
= 60

Total amount that Diana paid for the pomegranates
= 4 u
= 4 x 3
= $12

Price of each pomegranate
= 12 ÷ 60
= $0.20 

Answer(s): (a) 164; (b) $0.20