Anna spent $54 on some mangoes, mangosteens and persimmons in the ratio of 2 : 3 : 1. The number of mangoes was ⁴₅ the number of mangosteens. The ratio of the number of persimmons to the number of mangosteens was 2 : 1. The mangoes were sold at 2 for a dollar.

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

Amount spent
Mangoes	Mangosteens	Persimmons	Total
2 u	3 u	1 u	6 u

Total amount spent on fruits
= 2 u + 3 u + 1 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

Amount that Anna spent on mangoes
= 2 u
= 2 x 9
= $18 

Total number of mangoes that Anna bought
= 18 x 2
= 36

Number of fruits bought
Mangoes	Mangosteens	Persimmons
4x1	5x1
	1x5	2x5
4 p	5 p	10 p

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

4 p = 36

1 p = 36 ÷ 4 = 9

Total number of fruits that Anna bought
= 4 p + 5 p + 10 p
= 19 p
= 19 x 9
= 171

(b)
Total number of mangosteens that Anna bought
= 5 p
= 5 x 9
= 45

Total amount that Anna paid for the mangosteens
= 3 u
= 3 x 9
= $27

Price of each mangosteen
= 27 ÷ 45
= $0.60 

Answer(s): (a) 171; (b) $0.60