Tina spent $72 on some lemons, pomegranates and chikoos in the ratio of 3 : 4 : 1. The number of lemons was ³₄ the number of pomegranates. The ratio of the number of chikoos to the number of pomegranates was 5 : 3. The lemons were sold at 2 for a dollar.

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

Amount spent
Lemons	Pomegranates	Chikoos	Total
3 u	4 u	1 u	8 u

Total amount spent on fruits
= 3 u + 4 u + 1 u
= 8 u

8 u = 72

1 u = 72 ÷ 8 = 9

Amount that Tina spent on lemons
= 3 u
= 3 x 9
= $27 

Total number of lemons that Tina bought
= 27 x 2
= 54

Number of fruits bought
Lemons	Pomegranates	Chikoos
3x3	4x3
	3x4	5x4
9 p	12 p	20 p

The number of pomegranates bought is repeated.  Make the number of pomegranates the same.  LCM of 3 and 4 is 12.

9 p = 54

1 p = 54 ÷ 9 = 6

Total number of fruits that Tina bought
= 9 p + 12 p + 20 p
= 41 p
= 41 x 6
= 246

(b)
Total number of pomegranates that Tina bought
= 12 p
= 12 x 6
= 72

Total amount that Tina paid for the pomegranates
= 4 u
= 4 x 9
= $36

Price of each pomegranate
= 36 ÷ 72
= $0.50 

Answer(s): (a) 246; (b) $0.50