Kathy spent $40 on some kiwis, oranges and passion fruits in the ratio of 3 : 2 : 5. The number of kiwis was ³₄ the number of oranges. The ratio of the number of passion fruits to the number of oranges was 2 : 1. The kiwis were sold at 5 for a dollar.

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

Amount spent
Kiwis	Oranges	Passion Fruits	Total
3 u	2 u	5 u	10 u

Total amount spent on fruits
= 3 u + 2 u + 5 u
= 10 u

10 u = 40

1 u = 40 ÷ 10 = 4

Amount that Kathy spent on kiwis
= 3 u
= 3 x 4
= $12 

Total number of kiwis that Kathy bought
= 12 x 5
= 60

Number of fruits bought
Kiwis	Oranges	Passion Fruits
3x1	4x1
	1x4	2x4
3 p	4 p	8 p

The number of oranges bought is repeated.  Make the number of oranges the same.  LCM of 1 and 4 is 4.

3 p = 60

1 p = 60 ÷ 3 = 20

Total number of fruits that Kathy bought
= 3 p + 4 p + 8 p
= 15 p
= 15 x 20
= 300

(b)
Total number of oranges that Kathy bought
= 4 p
= 4 x 20
= 80

Total amount that Kathy paid for the oranges
= 2 u
= 2 x 4
= $8

Price of each orange
= 8 ÷ 80
= $0.10 

Answer(s): (a) 300; (b) $0.10