Dana spent $27 on some kiwis, pomegranates and apples in the ratio of 4 : 2 : 3. The number of kiwis was ³₅ the number of pomegranates. The ratio of the number of apples to the number of pomegranates was 2 : 1. The kiwis were sold at 3 for a dollar.

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

Amount spent
Kiwis	Pomegranates	Apples	Total
4 u	2 u	3 u	9 u

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Dana spent on kiwis
= 4 u
= 4 x 3
= $12 

Total number of kiwis that Dana bought
= 12 x 3
= 36

Number of fruits bought
Kiwis	Pomegranates	Apples
3x1	5x1
	1x5	2x5
3 p	5 p	10 p

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

3 p = 36

1 p = 36 ÷ 3 = 12

Total number of fruits that Dana bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 12
= 216

(b)
Total number of pomegranates that Dana bought
= 5 p
= 5 x 12
= 60

Total amount that Dana paid for the pomegranates
= 2 u
= 2 x 3
= $6

Price of each pomegranate
= 6 ÷ 60
= $0.10 

Answer(s): (a) 216; (b) $0.10