Barbara spent $48 on some starfruits, kiwis and pomegranates in the ratio of 3 : 5 : 4. The number of starfruits was ³₅ the number of kiwis. The ratio of the number of pomegranates to the number of kiwis was 6 : 1. The starfruits were sold at 2 for a dollar.

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

Amount spent
Starfruits	Kiwis	Pomegranates	Total
3 u	5 u	4 u	12 u

Total amount spent on fruits
= 3 u + 5 u + 4 u
= 12 u

12 u = 48

1 u = 48 ÷ 12 = 4

Amount that Barbara spent on starfruits
= 3 u
= 3 x 4
= $12 

Total number of starfruits that Barbara bought
= 12 x 2
= 24

Number of fruits bought
Starfruits	Kiwis	Pomegranates
3x1	5x1
	1x5	6x5
3 p	5 p	30 p

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

3 p = 24

1 p = 24 ÷ 3 = 8

Total number of fruits that Barbara bought
= 3 p + 5 p + 30 p
= 38 p
= 38 x 8
= 304

(b)
Total number of kiwis that Barbara bought
= 5 p
= 5 x 8
= 40

Total amount that Barbara paid for the kiwis
= 5 u
= 5 x 4
= $20

Price of each kiwi
= 20 ÷ 40
= $0.50 

Answer(s): (a) 304; (b) $0.50