Gwen spent $20 on some apples, mangoes and chikoos in the ratio of 4 : 5 : 1. The number of apples was ⁴₅ the number of mangoes. The ratio of the number of chikoos to the number of mangoes was 6 : 1. 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	Chikoos	Total
4 u	5 u	1 u	10 u

Total amount spent on fruits
= 4 u + 5 u + 1 u
= 10 u

10 u = 20

1 u = 20 ÷ 10 = 2

Amount that Gwen spent on apples
= 4 u
= 4 x 2
= $8 

Total number of apples that Gwen bought
= 8 x 2
= 16

Number of fruits bought
Apples	Mangoes	Chikoos
4x1	5x1
	1x5	6x5
4 p	5 p	30 p

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

4 p = 16

1 p = 16 ÷ 4 = 4

Total number of fruits that Gwen bought
= 4 p + 5 p + 30 p
= 39 p
= 39 x 4
= 156

(b)
Total number of mangoes that Gwen bought
= 5 p
= 5 x 4
= 20

Total amount that Gwen paid for the mangoes
= 5 u
= 5 x 2
= $10

Price of each mango
= 10 ÷ 20
= $0.50 

Answer(s): (a) 156; (b) $0.50