Sarah spent $30 on some kiwis, lemons and starfruits in the ratio of 3 : 5 : 2. The number of kiwis was ³₄ the number of lemons. The ratio of the number of starfruits to the number of lemons 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 lemon cost?

Amount spent
Kiwis	Lemons	Starfruits	Total
3 u	5 u	2 u	10 u

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

10 u = 30

1 u = 30 ÷ 10 = 3

Amount that Sarah spent on kiwis
= 3 u
= 3 x 3
= $9 

Total number of kiwis that Sarah bought
= 9 x 5
= 45

Number of fruits bought
Kiwis	Lemons	Starfruits
3x1	4x1
	1x4	2x4
3 p	4 p	8 p

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

3 p = 45

1 p = 45 ÷ 3 = 15

Total number of fruits that Sarah bought
= 3 p + 4 p + 8 p
= 15 p
= 15 x 15
= 225

(b)
Total number of lemons that Sarah bought
= 4 p
= 4 x 15
= 60

Total amount that Sarah paid for the lemons
= 5 u
= 5 x 3
= $15

Price of each lemon
= 15 ÷ 60
= $0.25 

Answer(s): (a) 225; (b) $0.25