A stall was selling flowers. ¹₄ of the earnings are from the sale of 12 lilies and 14 poppies. Of the rest of the earnings, ³₅ are from the sale of lilies and ²₅ are from the sale of poppies. Each poppy costs twice as much as each lily. How many flowers were sold?

12 lilies and 14 poppies	Rest of the earnings		Total earnings
1x5	3x5
	Roses	Carnations
	3x3	2x3
5	9	6	20

Fraction of the earnings left after the sale of 12 lilies and 14 poppies
= 1 - ¹₄
= ³₄ 

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

Cost of 1 lily = 1 u
Cost of 1 poppy = 2 u

Cost of 12 lilies = 12 x 1 u = 12 u
Cost of 14 poppies = 14 x 2 u = 28 u

Total cost of 12 lilies and 14 poppies
= 12 u + 28 u
= 40 u

⁵₂₀ of the earnings → 40 u 
¹₂₀ of the earnings → 40 u ÷ 5 = 8 u 

⁹₂₀ of the earnings → 9 x 8 u = 72 u 

Number of lilies sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72

⁶₂₀ of the earnings → 6 x 8 u = 48 u

Number of poppies sold that contributed to the rest of the earnings
= 48 u ÷ 2 u
= 24

Number of flowers sold
= 12 + 14 + 72 + 24
= 122

Answer(s): 122