Xuan spent $64 on some oranges, pomegranates and kiwis in the ratio of 2 : 5 : 1. The number of oranges was ⁴₅ the number of pomegranates. The ratio of the number of kiwis to the number of pomegranates was 2 : 1. The oranges were sold at 5 for a dollar.

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

Amount spent
Oranges	Pomegranates	Kiwis	Total
2 u	5 u	1 u	8 u

Total amount spent on fruits
= 2 u + 5 u + 1 u
= 8 u

8 u = 64

1 u = 64 ÷ 8 = 8

Amount that Xuan spent on oranges
= 2 u
= 2 x 8
= $16 

Total number of oranges that Xuan bought
= 16 x 5
= 80

Number of fruits bought
Oranges	Pomegranates	Kiwis
4x1	5x1
	1x5	2x5
4 p	5 p	10 p

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

4 p = 80

1 p = 80 ÷ 4 = 20

Total number of fruits that Xuan bought
= 4 p + 5 p + 10 p
= 19 p
= 19 x 20
= 380

(b)
Total number of pomegranates that Xuan bought
= 5 p
= 5 x 20
= 100

Total amount that Xuan paid for the pomegranates
= 5 u
= 5 x 8
= $40

Price of each pomegranate
= 40 ÷ 100
= $0.40 

Answer(s): (a) 380; (b) $0.40