A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 tulips and 11 lavenders. Of the rest of the earnings, ²₅ are from the sale of tulips and ³₅ are from the sale of lavenders. Each lavender costs twice as much as each tulip. How many flowers were sold?

8 tulips and 11 lavenders	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	2x2	3x2
5	4	6	15

Fraction of the earnings left after the sale of 8 tulips and 11 lavenders
= 1 - ¹₃
= ²₃ 

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

Cost of 1 tulip = 1 u
Cost of 1 lavender = 2 u

Cost of 8 tulips = 8 x 1 u = 8 u
Cost of 11 lavenders = 11 x 2 u = 22 u

Total cost of 8 tulips and 11 lavenders
= 8 u + 22 u
= 30 u

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

⁴₁₅ of the earnings → 4 x 6 u = 24 u 

Number of tulips sold that contributed to the rest of the earnings
= 24 u ÷ 1 u
= 24

⁶₁₅ of the earnings → 6 x 6 u = 36 u

Number of lavenders sold that contributed to the rest of the earnings
= 36 u ÷ 2 u
= 18

Number of flowers sold
= 8 + 11 + 24 + 18
= 61

Answer(s): 61