Nora spent $27 on some mangosteens, mangoes and kiwis in the ratio of 2 : 3 : 4. The number of mangosteens was ²₃ the number of mangoes. The ratio of the number of kiwis to the number of mangoes was 3 : 1. The mangosteens were sold at 5 for a dollar.

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

Amount spent
Mangosteens	Mangoes	Kiwis	Total
2 u	3 u	4 u	9 u

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Nora spent on mangosteens
= 2 u
= 2 x 3
= $6 

Total number of mangosteens that Nora bought
= 6 x 5
= 30

Number of fruits bought
Mangosteens	Mangoes	Kiwis
2x1	3x1
	1x3	3x3
2 p	3 p	9 p

The number of mangoes bought is repeated.  Make the number of mangoes the same.  LCM of 1 and 3 is 3.

2 p = 30

1 p = 30 ÷ 2 = 15

Total number of fruits that Nora bought
= 2 p + 3 p + 9 p
= 14 p
= 14 x 15
= 210

(b)
Total number of mangoes that Nora bought
= 3 p
= 3 x 15
= 45

Total amount that Nora paid for the mangoes
= 3 u
= 3 x 3
= $9

Price of each mango
= 9 ÷ 45
= $0.20 

Answer(s): (a) 210; (b) $0.20