A stall was selling flowers. ¹₆ of the earnings are from the sale of 12 lilies and 10 roses. Of the rest of the earnings, ³₄ are from the sale of lilies and ¹₄ are from the sale of roses. Each rose costs twice as much as each lily. How many flowers were sold?

12 lilies and 10 roses	Rest of the earnings		Total earnings
1x4	5x4
	Roses	Carnations
	3x5	1x5
4	15	5	24

Fraction of the earnings left after the sale of 12 lilies and 10 roses
= 1 - ¹₆
= ⁵₆ 

The rest of the earnings is repeated. LCM of 5 and 4 is 20.

Cost of 1 lily = 1 u
Cost of 1 rose = 2 u

Cost of 12 lilies = 12 x 1 u = 12 u
Cost of 10 roses = 10 x 2 u = 20 u

Total cost of 12 lilies and 10 roses
= 12 u + 20 u
= 32 u

⁴₂₄ of the earnings → 32 u 
¹₂₄ of the earnings → 32 u ÷ 4 = 8 u 

¹⁵₂₄ of the earnings → 15 x 8 u = 120 u 

Number of lilies sold that contributed to the rest of the earnings
= 120 u ÷ 1 u
= 120

⁵₂₄ of the earnings → 5 x 8 u = 40 u

Number of roses sold that contributed to the rest of the earnings
= 40 u ÷ 2 u
= 20

Number of flowers sold
= 12 + 10 + 120 + 20
= 162

Answer(s): 162