Jane spent $110 on some mangoes, pomegranates and lemons in the ratio of 2 : 4 : 5. The number of mangoes was ¹₂ the number of pomegranates. The ratio of the number of lemons to the number of pomegranates was 6 : 5. The mangoes were sold at 4 for a dollar.

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

Amount spent
Mangoes	Pomegranates	Lemons	Total
2 u	4 u	5 u	11 u

Total amount spent on fruits
= 2 u + 4 u + 5 u
= 11 u

11 u = 110

1 u = 110 ÷ 11 = 10

Amount that Jane spent on mangoes
= 2 u
= 2 x 10
= $20 

Total number of mangoes that Jane bought
= 20 x 4
= 80

Number of fruits bought
Mangoes	Pomegranates	Lemons
1x5	2x5
	5x2	6x2
5 p	10 p	12 p

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

5 p = 80

1 p = 80 ÷ 5 = 16

Total number of fruits that Jane bought
= 5 p + 10 p + 12 p
= 27 p
= 27 x 16
= 432

(b)
Total number of pomegranates that Jane bought
= 10 p
= 10 x 16
= 160

Total amount that Jane paid for the pomegranates
= 4 u
= 4 x 10
= $40

Price of each pomegranate
= 40 ÷ 160
= $0.25 

Answer(s): (a) 432; (b) $0.25