Usha spent $22 on some oranges, lemons and apples in the ratio of 5 : 4 : 2. The number of oranges was ³₄ the number of lemons. The ratio of the number of apples to the number of lemons was 2 : 1. The oranges were sold at 3 for a dollar.

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

Amount spent
Oranges	Lemons	Apples	Total
5 u	4 u	2 u	11 u

Total amount spent on fruits
= 5 u + 4 u + 2 u
= 11 u

11 u = 22

1 u = 22 ÷ 11 = 2

Amount that Usha spent on oranges
= 5 u
= 5 x 2
= $10 

Total number of oranges that Usha bought
= 10 x 3
= 30

Number of fruits bought
Oranges	Lemons	Apples
3x1	4x1
	1x4	2x4
3 p	4 p	8 p

The number of lemons bought is repeated.  Make the number of lemons the same.  LCM of 1 and 4 is 4.

3 p = 30

1 p = 30 ÷ 3 = 10

Total number of fruits that Usha bought
= 3 p + 4 p + 8 p
= 15 p
= 15 x 10
= 150

(b)
Total number of lemons that Usha bought
= 4 p
= 4 x 10
= 40

Total amount that Usha paid for the lemons
= 4 u
= 4 x 2
= $8

Price of each lemon
= 8 ÷ 40
= $0.20 

Answer(s): (a) 150; (b) $0.20