A stall was selling flowers. ¹₃ of the earnings are from the sale of 12 peonies and 12 lavenders. Of the rest of the earnings, ²₃ are from the sale of peonies and ¹₃ are from the sale of lavenders. Each lavender costs twice as much as each peony. How many flowers were sold?

12 peonies and 12 lavenders	Rest of the earnings		Total earnings
1x3	2x3
	Roses	Carnations
	2x2	1x2
3	4	2	9

Fraction of the earnings left after the sale of 12 peonies and 12 lavenders
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 3 is 6.

Cost of 1 peony = 1 u
Cost of 1 lavender = 2 u

Cost of 12 peonies = 12 x 1 u = 12 u
Cost of 12 lavenders = 12 x 2 u = 24 u

Total cost of 12 peonies and 12 lavenders
= 12 u + 24 u
= 36 u

³₉ of the earnings → 36 u 
¹₉ of the earnings → 36 u ÷ 3 = 12 u 

⁴₉ of the earnings → 4 x 12 u = 48 u 

Number of peonies sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48

²₉ of the earnings → 2 x 12 u = 24 u

Number of lavenders sold that contributed to the rest of the earnings
= 24 u ÷ 2 u
= 12

Number of flowers sold
= 12 + 12 + 48 + 12
= 84

Answer(s): 84