Julie spent $26 on some oranges, pears and apples in the ratio of 6 : 5 : 2. The number of oranges was ³₅ the number of pears. The ratio of the number of apples to the number of pears was 2 : 1. The oranges were sold at 2 for a dollar.

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

Amount spent
Oranges	Pears	Apples	Total
6 u	5 u	2 u	13 u

Total amount spent on fruits
= 6 u + 5 u + 2 u
= 13 u

13 u = 26

1 u = 26 ÷ 13 = 2

Amount that Julie spent on oranges
= 6 u
= 6 x 2
= $12 

Total number of oranges that Julie bought
= 12 x 2
= 24

Number of fruits bought
Oranges	Pears	Apples
3x1	5x1
	1x5	2x5
3 p	5 p	10 p

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

3 p = 24

1 p = 24 ÷ 3 = 8

Total number of fruits that Julie bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 8
= 144

(b)
Total number of pears that Julie bought
= 5 p
= 5 x 8
= 40

Total amount that Julie paid for the pears
= 5 u
= 5 x 2
= $10

Price of each pear
= 10 ÷ 40
= $0.25 

Answer(s): (a) 144; (b) $0.25