Zara spent $70 on some persimmons, passion fruits and starfruits in the ratio of 6 : 3 : 1. The number of persimmons was ²₅ the number of passion fruits. The ratio of the number of starfruits to the number of passion fruits was 5 : 3. The persimmons were sold at 2 for a dollar.

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

Amount spent
Persimmons	Passion Fruits	Starfruits	Total
6 u	3 u	1 u	10 u

Total amount spent on fruits
= 6 u + 3 u + 1 u
= 10 u

10 u = 70

1 u = 70 ÷ 10 = 7

Amount that Zara spent on persimmons
= 6 u
= 6 x 7
= $42 

Total number of persimmons that Zara bought
= 42 x 2
= 84

Number of fruits bought
Persimmons	Passion Fruits	Starfruits
2x3	5x3
	3x5	5x5
6 p	15 p	25 p

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

6 p = 84

1 p = 84 ÷ 6 = 14

Total number of fruits that Zara bought
= 6 p + 15 p + 25 p
= 46 p
= 46 x 14
= 644

(b)
Total number of passion fruits that Zara bought
= 15 p
= 15 x 14
= 210

Total amount that Zara paid for the passion fruits
= 3 u
= 3 x 7
= $21

Price of each passion fruit
= 21 ÷ 210
= $0.10 

Answer(s): (a) 644; (b) $0.10