Victoria spent $24 on some lemons, passion fruits and starfruits in the ratio of 4 : 5 : 3. The number of lemons was ⁴₅ the number of passion fruits. The ratio of the number of starfruits to the number of passion fruits was 3 : 2. The lemons were sold at 5 for a dollar.

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

Amount spent
Lemons	Passion Fruits	Starfruits	Total
4 u	5 u	3 u	12 u

Total amount spent on fruits
= 4 u + 5 u + 3 u
= 12 u

12 u = 24

1 u = 24 ÷ 12 = 2

Amount that Victoria spent on lemons
= 4 u
= 4 x 2
= $8 

Total number of lemons that Victoria bought
= 8 x 5
= 40

Number of fruits bought
Lemons	Passion Fruits	Starfruits
4x2	5x2
	2x5	3x5
8 p	10 p	15 p

The number of passion fruits bought is repeated.  Make the number of passion fruits the same.  LCM of 2 and 5 is 10.

8 p = 40

1 p = 40 ÷ 8 = 5

Total number of fruits that Victoria bought
= 8 p + 10 p + 15 p
= 33 p
= 33 x 5
= 165

(b)
Total number of passion fruits that Victoria bought
= 10 p
= 10 x 5
= 50

Total amount that Victoria paid for the passion fruits
= 5 u
= 5 x 2
= $10

Price of each passion fruit
= 10 ÷ 50
= $0.20 

Answer(s): (a) 165; (b) $0.20