Nora spent $100 on some lemons, mangosteens and pomegranates in the ratio of 3 : 5 : 2. The number of lemons was ³₅ the number of mangosteens. The ratio of the number of pomegranates to the number of mangosteens was 3 : 2. The lemons were sold at 2 for a dollar.

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

Amount spent
Lemons	Mangosteens	Pomegranates	Total
3 u	5 u	2 u	10 u

Total amount spent on fruits
= 3 u + 5 u + 2 u
= 10 u

10 u = 100

1 u = 100 ÷ 10 = 10

Amount that Nora spent on lemons
= 3 u
= 3 x 10
= $30 

Total number of lemons that Nora bought
= 30 x 2
= 60

Number of fruits bought
Lemons	Mangosteens	Pomegranates
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

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

6 p = 60

1 p = 60 ÷ 6 = 10

Total number of fruits that Nora bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 10
= 310

(b)
Total number of mangosteens that Nora bought
= 10 p
= 10 x 10
= 100

Total amount that Nora paid for the mangosteens
= 5 u
= 5 x 10
= $50

Price of each mangosteen
= 50 ÷ 100
= $0.50 

Answer(s): (a) 310; (b) $0.50