A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 lilies and 14 marigolds. Of the rest of the earnings, ²₃ are from the sale of lilies and ¹₃ are from the sale of marigolds. Each marigold costs twice as much as each lily. How many flowers were sold?

8 lilies and 14 marigolds	Rest of the earnings		Total earnings
1x3	2x3
	Roses	Carnations
	2x2	1x2
3	4	2	9

Fraction of the earnings left after the sale of 8 lilies and 14 marigolds
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 3 is 6.

Cost of 1 lily = 1 u
Cost of 1 marigold = 2 u

Cost of 8 lilies = 8 x 1 u = 8 u
Cost of 14 marigolds = 14 x 2 u = 28 u

Total cost of 8 lilies and 14 marigolds
= 8 u + 28 u
= 36 u

³₉ of the earnings → 36 u 
¹₉ of the earnings → 36 u ÷ 3 = 12 u 

⁴₉ of the earnings → 4 x 12 u = 48 u 

Number of lilies sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48

²₉ of the earnings → 2 x 12 u = 24 u

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

Number of flowers sold
= 8 + 14 + 48 + 12
= 82

Answer(s): 82