A stall was selling flowers. ¹₆ of the earnings are from the sale of 10 poppies and 15 lilies. Of the rest of the earnings, ³₄ are from the sale of poppies and ¹₄ are from the sale of lilies. Each lily costs twice as much as each poppy. How many flowers were sold?

10 poppies and 15 lilies	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 10 poppies and 15 lilies
= 1 - ¹₆
= ⁵₆ 

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

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

Cost of 10 poppies = 10 x 1 u = 10 u
Cost of 15 lilies = 15 x 2 u = 30 u

Total cost of 10 poppies and 15 lilies
= 10 u + 30 u
= 40 u

⁴₂₄ of the earnings → 40 u 
¹₂₄ of the earnings → 40 u ÷ 4 = 10 u 

¹⁵₂₄ of the earnings → 15 x 10 u = 150 u 

Number of poppies sold that contributed to the rest of the earnings
= 150 u ÷ 1 u
= 150

⁵₂₄ of the earnings → 5 x 10 u = 50 u

Number of lilies sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25

Number of flowers sold
= 10 + 15 + 150 + 25
= 200

Answer(s): 200