Tammy spent $99 on some apples, pomegranates and kiwis in the ratio of 6 : 3 : 2. The number of apples was ³₅ the number of pomegranates. The ratio of the number of kiwis to the number of pomegranates was 3 : 2. The apples were sold at 2 for a dollar.

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

Amount spent
Apples	Pomegranates	Kiwis	Total
6 u	3 u	2 u	11 u

Total amount spent on fruits
= 6 u + 3 u + 2 u
= 11 u

11 u = 99

1 u = 99 ÷ 11 = 9

Amount that Tammy spent on apples
= 6 u
= 6 x 9
= $54 

Total number of apples that Tammy bought
= 54 x 2
= 108

Number of fruits bought
Apples	Pomegranates	Kiwis
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

The number of pomegranates bought is repeated.  Make the number of pomegranates the same.  LCM of 2 and 5 is 10.

6 p = 108

1 p = 108 ÷ 6 = 18

Total number of fruits that Tammy bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 18
= 558

(b)
Total number of pomegranates that Tammy bought
= 10 p
= 10 x 18
= 180

Total amount that Tammy paid for the pomegranates
= 3 u
= 3 x 9
= $27

Price of each pomegranate
= 27 ÷ 180
= $0.15 

Answer(s): (a) 558; (b) $0.15