A stall was selling flowers. ¹₃ of the earnings are from the sale of 12 daffodils and 18 roses. Of the rest of the earnings, ³₄ are from the sale of daffodils and ¹₄ are from the sale of roses. Each rose costs twice as much as each daffodil. How many flowers were sold?

12 daffodils and 18 roses	Rest of the earnings		Total earnings
1x2	2x2
	Roses	Carnations
	3x1	1x1
2	3	1	6

Fraction of the earnings left after the sale of 12 daffodils and 18 roses
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 4 is 4.

Cost of 1 daffodil = 1 u
Cost of 1 rose = 2 u

Cost of 12 daffodils = 12 x 1 u = 12 u
Cost of 18 roses = 18 x 2 u = 36 u

Total cost of 12 daffodils and 18 roses
= 12 u + 36 u
= 48 u

²₆ of the earnings → 48 u 
¹₆ of the earnings → 48 u ÷ 2 = 24 u 

³₆ of the earnings → 3 x 24 u = 72 u 

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

¹₆ of the earnings → 1 x 24 u = 24 u

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

Number of flowers sold
= 12 + 18 + 72 + 12
= 114

Answer(s): 114