Raeann spent $18 on some persimmons, chikoos and pears in the ratio of 4 : 3 : 2. The number of persimmons was ¹₃ the number of chikoos. The ratio of the number of pears to the number of chikoos was 6 : 5. The persimmons were sold at 5 for a dollar.

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

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

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

9 u = 18

1 u = 18 ÷ 9 = 2

Amount that Raeann spent on persimmons
= 4 u
= 4 x 2
= $8 

Total number of persimmons that Raeann bought
= 8 x 5
= 40

Number of fruits bought
Persimmons	Chikoos	Pears
1x5	3x5
	5x3	6x3
5 p	15 p	18 p

The number of chikoos bought is repeated.  Make the number of chikoos the same.  LCM of 5 and 3 is 15.

5 p = 40

1 p = 40 ÷ 5 = 8

Total number of fruits that Raeann bought
= 5 p + 15 p + 18 p
= 38 p
= 38 x 8
= 304

(b)
Total number of chikoos that Raeann bought
= 15 p
= 15 x 8
= 120

Total amount that Raeann paid for the chikoos
= 3 u
= 3 x 2
= $6

Price of each chikoo
= 6 ÷ 120
= $0.05 

Answer(s): (a) 304; (b) $0.05