Gabby spent $108 on some apples, mangoes and pomegranates in the ratio of 3 : 5 : 4. The number of apples was ³₅ the number of mangoes. The ratio of the number of pomegranates to the number of mangoes was 3 : 2. The apples were sold at 2 for a dollar.

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

Amount spent
Apples	Mangoes	Pomegranates	Total
3 u	5 u	4 u	12 u

Total amount spent on fruits
= 3 u + 5 u + 4 u
= 12 u

12 u = 108

1 u = 108 ÷ 12 = 9

Amount that Gabby spent on apples
= 3 u
= 3 x 9
= $27 

Total number of apples that Gabby bought
= 27 x 2
= 54

Number of fruits bought
Apples	Mangoes	Pomegranates
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

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

6 p = 54

1 p = 54 ÷ 6 = 9

Total number of fruits that Gabby bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 9
= 279

(b)
Total number of mangoes that Gabby bought
= 10 p
= 10 x 9
= 90

Total amount that Gabby paid for the mangoes
= 5 u
= 5 x 9
= $45

Price of each mango
= 45 ÷ 90
= $0.50 

Answer(s): (a) 279; (b) $0.50