A stall was selling flowers. ¹₄ of the earnings are from the sale of 8 poppies and 20 lavenders. Of the rest of the earnings, ³₄ are from the sale of poppies and ¹₄ are from the sale of lavenders. Each lavender costs twice as much as each poppy. How many flowers were sold?

8 poppies and 20 lavenders	Rest of the earnings		Total earnings
1x4	3x4
	Roses	Carnations
	3x3	1x3
4	9	3	16

Fraction of the earnings left after the sale of 8 poppies and 20 lavenders
= 1 - ¹₄
= ³₄ 

The rest of the earnings is repeated. LCM of 3 and 4 is 12.

Cost of 1 poppy = 1 u
Cost of 1 lavender = 2 u

Cost of 8 poppies = 8 x 1 u = 8 u
Cost of 20 lavenders = 20 x 2 u = 40 u

Total cost of 8 poppies and 20 lavenders
= 8 u + 40 u
= 48 u

⁴₁₆ of the earnings → 48 u 
¹₁₆ of the earnings → 48 u ÷ 4 = 12 u 

⁹₁₆ of the earnings → 9 x 12 u = 108 u 

Number of poppies sold that contributed to the rest of the earnings
= 108 u ÷ 1 u
= 108

³₁₆ of the earnings → 3 x 12 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 + 20 + 108 + 18
= 154

Answer(s): 154