Erika spent $48 on some passion fruits, kiwis and starfruits in the ratio of 4 : 3 : 1. The number of passion fruits was ²₃ the number of kiwis. The ratio of the number of starfruits to the number of kiwis was 5 : 4. The passion fruits were sold at 2 for a dollar.

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

Amount spent
Passion Fruits	Kiwis	Starfruits	Total
4 u	3 u	1 u	8 u

Total amount spent on fruits
= 4 u + 3 u + 1 u
= 8 u

8 u = 48

1 u = 48 ÷ 8 = 6

Amount that Erika spent on passion fruits
= 4 u
= 4 x 6
= $24 

Total number of passion fruits that Erika bought
= 24 x 2
= 48

Number of fruits bought
Passion Fruits	Kiwis	Starfruits
2x4	3x4
	4x3	5x3
8 p	12 p	15 p

The number of kiwis bought is repeated.  Make the number of kiwis the same.  LCM of 4 and 3 is 12.

8 p = 48

1 p = 48 ÷ 8 = 6

Total number of fruits that Erika bought
= 8 p + 12 p + 15 p
= 35 p
= 35 x 6
= 210

(b)
Total number of kiwis that Erika bought
= 12 p
= 12 x 6
= 72

Total amount that Erika paid for the kiwis
= 3 u
= 3 x 6
= $18

Price of each kiwi
= 18 ÷ 72
= $0.25 

Answer(s): (a) 210; (b) $0.25