Winnie spent $27 on some apples, oranges and pomegranates in the ratio of 2 : 4 : 3. The number of apples was ¹₂ the number of oranges. The ratio of the number of pomegranates to the number of oranges was 5 : 3. The apples were sold at 2 for a dollar.

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

Amount spent
Apples	Oranges	Pomegranates	Total
2 u	4 u	3 u	9 u

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

9 u = 27

1 u = 27 ÷ 9 = 3

Amount that Winnie spent on apples
= 2 u
= 2 x 3
= $6 

Total number of apples that Winnie bought
= 6 x 2
= 12

Number of fruits bought
Apples	Oranges	Pomegranates
1x3	2x3
	3x2	5x2
3 p	6 p	10 p

The number of oranges bought is repeated.  Make the number of oranges the same.  LCM of 3 and 2 is 6.

3 p = 12

1 p = 12 ÷ 3 = 4

Total number of fruits that Winnie bought
= 3 p + 6 p + 10 p
= 19 p
= 19 x 4
= 76

(b)
Total number of oranges that Winnie bought
= 6 p
= 6 x 4
= 24

Total amount that Winnie paid for the oranges
= 4 u
= 4 x 3
= $12

Price of each orange
= 12 ÷ 24
= $0.50 

Answer(s): (a) 76; (b) $0.50