Ivory spent $33 on some chikoos, persimmons and starfruits in the ratio of 4 : 5 : 2. The number of chikoos was ⁴₅ the number of persimmons. The ratio of the number of starfruits to the number of persimmons was 2 : 1. The chikoos were sold at 2 for a dollar.

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

Amount spent
Chikoos	Persimmons	Starfruits	Total
4 u	5 u	2 u	11 u

Total amount spent on fruits
= 4 u + 5 u + 2 u
= 11 u

11 u = 33

1 u = 33 ÷ 11 = 3

Amount that Ivory spent on chikoos
= 4 u
= 4 x 3
= $12 

Total number of chikoos that Ivory bought
= 12 x 2
= 24

Number of fruits bought
Chikoos	Persimmons	Starfruits
4x1	5x1
	1x5	2x5
4 p	5 p	10 p

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

4 p = 24

1 p = 24 ÷ 4 = 6

Total number of fruits that Ivory bought
= 4 p + 5 p + 10 p
= 19 p
= 19 x 6
= 114

(b)
Total number of persimmons that Ivory bought
= 5 p
= 5 x 6
= 30

Total amount that Ivory paid for the persimmons
= 5 u
= 5 x 3
= $15

Price of each persimmon
= 15 ÷ 30
= $0.50 

Answer(s): (a) 114; (b) $0.50