Raeann spent $27 on some kiwis, starfruits and passion fruits in the ratio of 3 : 4 : 2. The number of kiwis was ³₄ the number of starfruits. The ratio of the number of passion fruits to the number of starfruits was 6 : 1. The kiwis were sold at 4 for a dollar.

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

Amount spent
Kiwis	Starfruits	Passion Fruits	Total
3 u	4 u	2 u	9 u

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Raeann spent on kiwis
= 3 u
= 3 x 3
= $9 

Total number of kiwis that Raeann bought
= 9 x 4
= 36

Number of fruits bought
Kiwis	Starfruits	Passion Fruits
3x1	4x1
	1x4	6x4
3 p	4 p	24 p

The number of starfruits bought is repeated.  Make the number of starfruits the same.  LCM of 1 and 4 is 4.

3 p = 36

1 p = 36 ÷ 3 = 12

Total number of fruits that Raeann bought
= 3 p + 4 p + 24 p
= 31 p
= 31 x 12
= 372

(b)
Total number of starfruits that Raeann bought
= 4 p
= 4 x 12
= 48

Total amount that Raeann paid for the starfruits
= 4 u
= 4 x 3
= $12

Price of each starfruit
= 12 ÷ 48
= $0.25 

Answer(s): (a) 372; (b) $0.25