Gillian spent $18 on some kiwis, oranges and lemons in the ratio of 2 : 4 : 3. The number of kiwis was ⁴₅ the number of oranges. The ratio of the number of lemons to the number of oranges was 3 : 2. The kiwis were sold at 2 for a dollar.

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

Amount spent
Kiwis	Oranges	Lemons	Total
2 u	4 u	3 u	9 u

Total amount spent on fruits
= 2 u + 4 u + 3 u
= 9 u

9 u = 18

1 u = 18 ÷ 9 = 2

Amount that Gillian spent on kiwis
= 2 u
= 2 x 2
= $4 

Total number of kiwis that Gillian bought
= 4 x 2
= 8

Number of fruits bought
Kiwis	Oranges	Lemons
4x2	5x2
	2x5	3x5
8 p	10 p	15 p

The number of oranges bought is repeated.  Make the number of oranges the same.  LCM of 2 and 5 is 10.

8 p = 8

1 p = 8 ÷ 8 = 1

Total number of fruits that Gillian bought
= 8 p + 10 p + 15 p
= 33 p
= 33 x 1
= 33

(b)
Total number of oranges that Gillian bought
= 10 p
= 10 x 1
= 10

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

Price of each orange
= 8 ÷ 10
= $0.80 

Answer(s): (a) 33; (b) $0.80