Roshel spent $44 on some oranges, chikoos and mangosteens in the ratio of 4 : 2 : 5. The number of oranges was ¹₅ the number of chikoos. The ratio of the number of mangosteens to the number of chikoos was 3 : 2. The oranges were sold at 2 for a dollar.

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

Amount spent
Oranges	Chikoos	Mangosteens	Total
4 u	2 u	5 u	11 u

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

11 u = 44

1 u = 44 ÷ 11 = 4

Amount that Roshel spent on oranges
= 4 u
= 4 x 4
= $16 

Total number of oranges that Roshel bought
= 16 x 2
= 32

Number of fruits bought
Oranges	Chikoos	Mangosteens
1x2	5x2
	2x5	3x5
2 p	10 p	15 p

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

2 p = 32

1 p = 32 ÷ 2 = 16

Total number of fruits that Roshel bought
= 2 p + 10 p + 15 p
= 27 p
= 27 x 16
= 432

(b)
Total number of chikoos that Roshel bought
= 10 p
= 10 x 16
= 160

Total amount that Roshel paid for the chikoos
= 2 u
= 2 x 4
= $8

Price of each chikoo
= 8 ÷ 160
= $0.05 

Answer(s): (a) 432; (b) $0.05