Gabby spent $44 on some pomegranates, lemons and passion fruits in the ratio of 5 : 4 : 2. The number of pomegranates was ³₄ the number of lemons. The ratio of the number of passion fruits to the number of lemons was 3 : 2. The pomegranates were sold at 3 for a dollar.

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

Amount spent
Pomegranates	Lemons	Passion Fruits	Total
5 u	4 u	2 u	11 u

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

11 u = 44

1 u = 44 ÷ 11 = 4

Amount that Gabby spent on pomegranates
= 5 u
= 5 x 4
= $20 

Total number of pomegranates that Gabby bought
= 20 x 3
= 60

Number of fruits bought
Pomegranates	Lemons	Passion Fruits
3x1	4x1
	2x2	3x2
3 p	4 p	6 p

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

3 p = 60

1 p = 60 ÷ 3 = 20

Total number of fruits that Gabby bought
= 3 p + 4 p + 6 p
= 13 p
= 13 x 20
= 260

(b)
Total number of lemons that Gabby bought
= 4 p
= 4 x 20
= 80

Total amount that Gabby paid for the lemons
= 4 u
= 4 x 4
= $16

Price of each lemon
= 16 ÷ 80
= $0.20 

Answer(s): (a) 260; (b) $0.20