Emily spent $60 on some mangosteens, starfruits and apples in the ratio of 4 : 3 : 5. The number of mangosteens was ²₅ the number of starfruits. The ratio of the number of apples to the number of starfruits was 4 : 1. The mangosteens were sold at 2 for a dollar.

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

Amount spent
Mangosteens	Starfruits	Apples	Total
4 u	3 u	5 u	12 u

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

12 u = 60

1 u = 60 ÷ 12 = 5

Amount that Emily spent on mangosteens
= 4 u
= 4 x 5
= $20 

Total number of mangosteens that Emily bought
= 20 x 2
= 40

Number of fruits bought
Mangosteens	Starfruits	Apples
2x1	5x1
	1x5	4x5
2 p	5 p	20 p

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

2 p = 40

1 p = 40 ÷ 2 = 20

Total number of fruits that Emily bought
= 2 p + 5 p + 20 p
= 27 p
= 27 x 20
= 540

(b)
Total number of starfruits that Emily bought
= 5 p
= 5 x 20
= 100

Total amount that Emily paid for the starfruits
= 3 u
= 3 x 5
= $15

Price of each starfruit
= 15 ÷ 100
= $0.15 

Answer(s): (a) 540; (b) $0.15