Jaslyn spent $72 on some pomegranates, passion fruits and chikoos in the ratio of 4 : 3 : 1. The number of pomegranates was ²₅ the number of passion fruits. The ratio of the number of chikoos to the number of passion fruits was 4 : 3. The pomegranates 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
Pomegranates	Passion Fruits	Chikoos	Total
4 u	3 u	1 u	8 u

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

8 u = 72

1 u = 72 ÷ 8 = 9

Amount that Jaslyn spent on pomegranates
= 4 u
= 4 x 9
= $36 

Total number of pomegranates that Jaslyn bought
= 36 x 2
= 72

Number of fruits bought
Pomegranates	Passion Fruits	Chikoos
2x3	5x3
	3x5	4x5
6 p	15 p	20 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 = 72

1 p = 72 ÷ 6 = 12

Total number of fruits that Jaslyn bought
= 6 p + 15 p + 20 p
= 41 p
= 41 x 12
= 492

(b)
Total number of passion fruits that Jaslyn bought
= 15 p
= 15 x 12
= 180

Total amount that Jaslyn paid for the passion fruits
= 3 u
= 3 x 9
= $27

Price of each passion fruit
= 27 ÷ 180
= $0.15 

Answer(s): (a) 492; (b) $0.15