A stall was selling flowers. ¹₆ of the earnings are from the sale of 6 lavenders and 17 daffodils. Of the rest of the earnings, ³₄ are from the sale of lavenders and ¹₄ are from the sale of daffodils. Each daffodil costs twice as much as each lavender. How many flowers were sold?

6 lavenders and 17 daffodils	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 6 lavenders and 17 daffodils
= 1 - ¹₆
= ⁵₆ 

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

Cost of 1 lavender = 1 u
Cost of 1 daffodil = 2 u

Cost of 6 lavenders = 6 x 1 u = 6 u
Cost of 17 daffodils = 17 x 2 u = 34 u

Total cost of 6 lavenders and 17 daffodils
= 6 u + 34 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 lavenders 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 daffodils sold that contributed to the rest of the earnings
= 50 u ÷ 2 u
= 25

Number of flowers sold
= 6 + 17 + 150 + 25
= 198

Answer(s): 198