Esther spent $33 on some passion fruits, chikoos and mangosteens in the ratio of 2 : 4 : 5. The number of passion fruits was ¹₅ the number of chikoos. The ratio of the number of mangosteens to the number of chikoos was 5 : 2. The passion fruits were sold at 4 for a dollar.

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

Amount spent
Passion Fruits	Chikoos	Mangosteens	Total
2 u	4 u	5 u	11 u

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

11 u = 33

1 u = 33 ÷ 11 = 3

Amount that Esther spent on passion fruits
= 2 u
= 2 x 3
= $6 

Total number of passion fruits that Esther bought
= 6 x 4
= 24

Number of fruits bought
Passion Fruits	Chikoos	Mangosteens
1x2	5x2
	2x5	5x5
2 p	10 p	25 p

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

2 p = 24

1 p = 24 ÷ 2 = 12

Total number of fruits that Esther bought
= 2 p + 10 p + 25 p
= 37 p
= 37 x 12
= 444

(b)
Total number of chikoos that Esther bought
= 10 p
= 10 x 12
= 120

Total amount that Esther paid for the chikoos
= 4 u
= 4 x 3
= $12

Price of each chikoo
= 12 ÷ 120
= $0.10 

Answer(s): (a) 444; (b) $0.10