Tina spent $88 on some passion fruits, oranges and starfruits in the ratio of 2 : 5 : 4. The number of passion fruits was ²₅ the number of oranges. The ratio of the number of starfruits to the number of oranges was 6 : 1. The passion fruits were sold at 2 for a dollar.

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

Amount spent
Passion Fruits	Oranges	Starfruits	Total
2 u	5 u	4 u	11 u

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

11 u = 88

1 u = 88 ÷ 11 = 8

Amount that Tina spent on passion fruits
= 2 u
= 2 x 8
= $16 

Total number of passion fruits that Tina bought
= 16 x 2
= 32

Number of fruits bought
Passion Fruits	Oranges	Starfruits
2x1	5x1
	1x5	6x5
2 p	5 p	30 p

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

2 p = 32

1 p = 32 ÷ 2 = 16

Total number of fruits that Tina bought
= 2 p + 5 p + 30 p
= 37 p
= 37 x 16
= 592

(b)
Total number of oranges that Tina bought
= 5 p
= 5 x 16
= 80

Total amount that Tina paid for the oranges
= 5 u
= 5 x 8
= $40

Price of each orange
= 40 ÷ 80
= $0.50 

Answer(s): (a) 592; (b) $0.50