Xuan spent $26 on some oranges, lemons and pomegranates in the ratio of 6 : 3 : 4. The number of oranges was ³₅ the number of lemons. The ratio of the number of pomegranates to the number of lemons was 3 : 1. The oranges were sold at 2 for a dollar.

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

Amount spent
Oranges	Lemons	Pomegranates	Total
6 u	3 u	4 u	13 u

Total amount spent on fruits
= 6 u + 3 u + 4 u
= 13 u

13 u = 26

1 u = 26 ÷ 13 = 2

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

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

Number of fruits bought
Oranges	Lemons	Pomegranates
3x1	5x1
	1x5	3x5
3 p	5 p	15 p

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

3 p = 24

1 p = 24 ÷ 3 = 8

Total number of fruits that Xuan bought
= 3 p + 5 p + 15 p
= 23 p
= 23 x 8
= 184

(b)
Total number of lemons that Xuan bought
= 5 p
= 5 x 8
= 40

Total amount that Xuan paid for the lemons
= 3 u
= 3 x 2
= $6

Price of each lemon
= 6 ÷ 40
= $0.15 

Answer(s): (a) 184; (b) $0.15