Gabby spent $90 on some mangosteens, persimmons and chikoos in the ratio of 2 : 4 : 3. The number of mangosteens was ³₅ the number of persimmons. The ratio of the number of chikoos to the number of persimmons was 3 : 2. The mangosteens were sold at 3 for a dollar.

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

Amount spent
Mangosteens	Persimmons	Chikoos	Total
2 u	4 u	3 u	9 u

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

9 u = 90

1 u = 90 ÷ 9 = 10

Amount that Gabby spent on mangosteens
= 2 u
= 2 x 10
= $20 

Total number of mangosteens that Gabby bought
= 20 x 3
= 60

Number of fruits bought
Mangosteens	Persimmons	Chikoos
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

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

6 p = 60

1 p = 60 ÷ 6 = 10

Total number of fruits that Gabby bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 10
= 310

(b)
Total number of persimmons that Gabby bought
= 10 p
= 10 x 10
= 100

Total amount that Gabby paid for the persimmons
= 4 u
= 4 x 10
= $40

Price of each persimmon
= 40 ÷ 100
= $0.40 

Answer(s): (a) 310; (b) $0.40