A stall was selling flowers. ¹₃ of the earnings are from the sale of 10 peonies and 10 lavenders. Of the rest of the earnings, ³₅ are from the sale of peonies and ²₅ are from the sale of lavenders. Each lavender costs twice as much as each peony. How many flowers were sold?

10 peonies and 10 lavenders	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	3x2	2x2
5	6	4	15

Fraction of the earnings left after the sale of 10 peonies and 10 lavenders
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 5 is 10.

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

Cost of 10 peonies = 10 x 1 u = 10 u
Cost of 10 lavenders = 10 x 2 u = 20 u

Total cost of 10 peonies and 10 lavenders
= 10 u + 20 u
= 30 u

⁵₁₅ of the earnings → 30 u 
¹₁₅ of the earnings → 30 u ÷ 5 = 6 u 

⁶₁₅ of the earnings → 6 x 6 u = 36 u 

Number of peonies sold that contributed to the rest of the earnings
= 36 u ÷ 1 u
= 36

⁴₁₅ of the earnings → 4 x 6 u = 24 u

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

Number of flowers sold
= 10 + 10 + 36 + 12
= 68

Answer(s): 68