Lucy spent $30 on some mangoes, persimmons and starfruits in the ratio of 6 : 3 : 1. The number of mangoes was ³₅ the number of persimmons. The ratio of the number of starfruits to the number of persimmons was 4 : 1. The mangoes were sold at 3 for a dollar.

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

Amount spent
Mangoes	Persimmons	Starfruits	Total
6 u	3 u	1 u	10 u

Total amount spent on fruits
= 6 u + 3 u + 1 u
= 10 u

10 u = 30

1 u = 30 ÷ 10 = 3

Amount that Lucy spent on mangoes
= 6 u
= 6 x 3
= $18 

Total number of mangoes that Lucy bought
= 18 x 3
= 54

Number of fruits bought
Mangoes	Persimmons	Starfruits
3x1	5x1
	1x5	4x5
3 p	5 p	20 p

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

3 p = 54

1 p = 54 ÷ 3 = 18

Total number of fruits that Lucy bought
= 3 p + 5 p + 20 p
= 28 p
= 28 x 18
= 504

(b)
Total number of persimmons that Lucy bought
= 5 p
= 5 x 18
= 90

Total amount that Lucy paid for the persimmons
= 3 u
= 3 x 3
= $9

Price of each persimmon
= 9 ÷ 90
= $0.10 

Answer(s): (a) 504; (b) $0.10