Vanessa spent $56 on some lemons, mangoes and pomegranates in the ratio of 4 : 2 : 1. The number of lemons was ²₅ the number of mangoes. The ratio of the number of pomegranates to the number of mangoes was 5 : 2. The lemons were sold at 2 for a dollar.

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

Amount spent
Lemons	Mangoes	Pomegranates	Total
4 u	2 u	1 u	7 u

Total amount spent on fruits
= 4 u + 2 u + 1 u
= 7 u

7 u = 56

1 u = 56 ÷ 7 = 8

Amount that Vanessa spent on lemons
= 4 u
= 4 x 8
= $32 

Total number of lemons that Vanessa bought
= 32 x 2
= 64

Number of fruits bought
Lemons	Mangoes	Pomegranates
2x2	5x2
	2x5	5x5
4 p	10 p	25 p

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

4 p = 64

1 p = 64 ÷ 4 = 16

Total number of fruits that Vanessa bought
= 4 p + 10 p + 25 p
= 39 p
= 39 x 16
= 624

(b)
Total number of mangoes that Vanessa bought
= 10 p
= 10 x 16
= 160

Total amount that Vanessa paid for the mangoes
= 2 u
= 2 x 8
= $16

Price of each mango
= 16 ÷ 160
= $0.10 

Answer(s): (a) 624; (b) $0.10