Joelle spent $54 on some kiwis, persimmons and passion fruits in the ratio of 2 : 3 : 4. The number of kiwis was ²₅ the number of persimmons. The ratio of the number of passion fruits to the number of persimmons was 4 : 3. The kiwis were sold at 4 for a dollar.

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

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

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

9 u = 54

1 u = 54 ÷ 9 = 6

Amount that Joelle spent on kiwis
= 2 u
= 2 x 6
= $12 

Total number of kiwis that Joelle bought
= 12 x 4
= 48

Number of fruits bought
Kiwis	Persimmons	Passion Fruits
2x3	5x3
	3x5	4x5
6 p	15 p	20 p

The number of persimmons bought is repeated.  Make the number of persimmons the same.  LCM of 3 and 5 is 15.

6 p = 48

1 p = 48 ÷ 6 = 8

Total number of fruits that Joelle bought
= 6 p + 15 p + 20 p
= 41 p
= 41 x 8
= 328

(b)
Total number of persimmons that Joelle bought
= 15 p
= 15 x 8
= 120

Total amount that Joelle paid for the persimmons
= 3 u
= 3 x 6
= $18

Price of each persimmon
= 18 ÷ 120
= $0.15 

Answer(s): (a) 328; (b) $0.15