A stall was selling flowers. ¹₆ of the earnings are from the sale of 6 roses and 15 lavenders. Of the rest of the earnings, ²₃ are from the sale of roses and ¹₃ are from the sale of lavenders. Each lavender costs twice as much as each rose. How many flowers were sold?

6 roses and 15 lavenders	Rest of the earnings		Total earnings
1x3	5x3
	Roses	Carnations
	2x5	1x5
3	10	5	18

Fraction of the earnings left after the sale of 6 roses and 15 lavenders
= 1 - ¹₆
= ⁵₆ 

The rest of the earnings is repeated. LCM of 5 and 3 is 15.

Cost of 1 rose = 1 u
Cost of 1 lavender = 2 u

Cost of 6 roses = 6 x 1 u = 6 u
Cost of 15 lavenders = 15 x 2 u = 30 u

Total cost of 6 roses and 15 lavenders
= 6 u + 30 u
= 36 u

³₁₈ of the earnings → 36 u 
¹₁₈ of the earnings → 36 u ÷ 3 = 12 u 

¹⁰₁₈ of the earnings → 10 x 12 u = 120 u 

Number of roses sold that contributed to the rest of the earnings
= 120 u ÷ 1 u
= 120

⁵₁₈ of the earnings → 5 x 12 u = 60 u

Number of lavenders sold that contributed to the rest of the earnings
= 60 u ÷ 2 u
= 30

Number of flowers sold
= 6 + 15 + 120 + 30
= 171

Answer(s): 171