Wendy spent $24 on some starfruits, persimmons and lemons in the ratio of 2 : 3 : 1. The number of starfruits was ⁵₆ the number of persimmons. The ratio of the number of lemons to the number of persimmons was 3 : 2. The starfruits were sold at 5 for a dollar.

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

Amount spent
Starfruits	Persimmons	Lemons	Total
2 u	3 u	1 u	6 u

Total amount spent on fruits
= 2 u + 3 u + 1 u
= 6 u

6 u = 24

1 u = 24 ÷ 6 = 4

Amount that Wendy spent on starfruits
= 2 u
= 2 x 4
= $8 

Total number of starfruits that Wendy bought
= 8 x 5
= 40

Number of fruits bought
Starfruits	Persimmons	Lemons
5x1	6x1
	2x3	3x3
5 p	6 p	9 p

The number of persimmons bought is repeated.  Make the number of persimmons the same.  LCM of 2 and 6 is 6.

5 p = 40

1 p = 40 ÷ 5 = 8

Total number of fruits that Wendy bought
= 5 p + 6 p + 9 p
= 20 p
= 20 x 8
= 160

(b)
Total number of persimmons that Wendy bought
= 6 p
= 6 x 8
= 48

Total amount that Wendy paid for the persimmons
= 3 u
= 3 x 4
= $12

Price of each persimmon
= 12 ÷ 48
= $0.25 

Answer(s): (a) 160; (b) $0.25