Risa spent $27 on some chikoos, passion fruits and oranges in the ratio of 2 : 4 : 3. The number of chikoos was ³₅ the number of passion fruits. The ratio of the number of oranges to the number of passion fruits 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 passion fruit cost?

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

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Risa spent on chikoos
= 2 u
= 2 x 3
= $6 

Total number of chikoos that Risa bought
= 6 x 2
= 12

Number of fruits bought
Chikoos	Passion Fruits	Oranges
3x1	5x1
	1x5	2x5
3 p	5 p	10 p

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

3 p = 12

1 p = 12 ÷ 3 = 4

Total number of fruits that Risa bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 4
= 72

(b)
Total number of passion fruits that Risa bought
= 5 p
= 5 x 4
= 20

Total amount that Risa paid for the passion fruits
= 4 u
= 4 x 3
= $12

Price of each passion fruit
= 12 ÷ 20
= $0.60 

Answer(s): (a) 72; (b) $0.60