Jane spent $55 on some mangoes, passion fruits and apples in the ratio of 6 : 2 : 3. The number of mangoes was ³₅ the number of passion fruits. The ratio of the number of apples to the number of passion fruits was 3 : 1. The mangoes 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
Mangoes	Passion Fruits	Apples	Total
6 u	2 u	3 u	11 u

Total amount spent on fruits
= 6 u + 2 u + 3 u
= 11 u

11 u = 55

1 u = 55 ÷ 11 = 5

Amount that Jane spent on mangoes
= 6 u
= 6 x 5
= $30 

Total number of mangoes that Jane bought
= 30 x 2
= 60

Number of fruits bought
Mangoes	Passion Fruits	Apples
3x1	5x1
	1x5	3x5
3 p	5 p	15 p

The number of passion fruits bought is repeated.  Make the number of passion fruits the same.  LCM of 1 and 5 is 5.

3 p = 60

1 p = 60 ÷ 3 = 20

Total number of fruits that Jane bought
= 3 p + 5 p + 15 p
= 23 p
= 23 x 20
= 460

(b)
Total number of passion fruits that Jane bought
= 5 p
= 5 x 20
= 100

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

Price of each passion fruit
= 10 ÷ 100
= $0.10 

Answer(s): (a) 460; (b) $0.10