Marion spent $24 on some passion fruits, apples and mangosteens in the ratio of 5 : 4 : 3. The number of passion fruits was ¹₂ the number of apples. The ratio of the number of mangosteens to the number of apples was 5 : 4. The passion fruits were sold at 2 for a dollar.

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

Amount spent
Passion Fruits	Apples	Mangosteens	Total
5 u	4 u	3 u	12 u

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

12 u = 24

1 u = 24 ÷ 12 = 2

Amount that Marion spent on passion fruits
= 5 u
= 5 x 2
= $10 

Total number of passion fruits that Marion bought
= 10 x 2
= 20

Number of fruits bought
Passion Fruits	Apples	Mangosteens
1x2	2x2
	4x1	5x1
2 p	4 p	5 p

The number of apples bought is repeated.  Make the number of apples the same.  LCM of 4 and 2 is 4.

2 p = 20

1 p = 20 ÷ 2 = 10

Total number of fruits that Marion bought
= 2 p + 4 p + 5 p
= 11 p
= 11 x 10
= 110

(b)
Total number of apples that Marion bought
= 4 p
= 4 x 10
= 40

Total amount that Marion paid for the apples
= 4 u
= 4 x 2
= $8

Price of each apple
= 8 ÷ 40
= $0.20 

Answer(s): (a) 110; (b) $0.20