Vanessa spent $63 on some persimmons, chikoos and passion fruits in the ratio of 2 : 3 : 4. The number of persimmons was ²₅ the number of chikoos. The ratio of the number of passion fruits to the number of chikoos was 3 : 1. The persimmons were sold at 2 for a dollar.

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

Amount spent
Persimmons	Chikoos	Passion Fruits	Total
2 u	3 u	4 u	9 u

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

9 u = 63

1 u = 63 ÷ 9 = 7

Amount that Vanessa spent on persimmons
= 2 u
= 2 x 7
= $14 

Total number of persimmons that Vanessa bought
= 14 x 2
= 28

Number of fruits bought
Persimmons	Chikoos	Passion Fruits
2x1	5x1
	1x5	3x5
2 p	5 p	15 p

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

2 p = 28

1 p = 28 ÷ 2 = 14

Total number of fruits that Vanessa bought
= 2 p + 5 p + 15 p
= 22 p
= 22 x 14
= 308

(b)
Total number of chikoos that Vanessa bought
= 5 p
= 5 x 14
= 70

Total amount that Vanessa paid for the chikoos
= 3 u
= 3 x 7
= $21

Price of each chikoo
= 21 ÷ 70
= $0.30 

Answer(s): (a) 308; (b) $0.30