A stall was selling flowers. ¹₆ of the earnings are from the sale of 9 roses and 12 daffodils. Of the rest of the earnings, ²₃ are from the sale of roses and ¹₃ are from the sale of daffodils. Each daffodil costs thrice as much as each rose. How many flowers were sold?

9 roses and 12 daffodils	Rest of the earnings		Total earnings
1x3	5x3
	Roses	Carnations
	2x5	1x5
3	10	5	18

Fraction of the earnings left after the sale of 9 roses and 12 daffodils
= 1 - ¹₆
= ⁵₆ 

The rest of the earnings is repeated. LCM of 5 and 3 is 15.

Cost of 1 rose = 1 u
Cost of 1 daffodil = 3 u

Cost of 9 roses = 9 x 1 u = 9 u
Cost of 12 daffodils = 12 x 3 u = 36 u

Total cost of 9 roses and 12 daffodils
= 9 u + 36 u
= 45 u

³₁₈ of the earnings → 45 u 
¹₁₈ of the earnings → 45 u ÷ 3 = 15 u 

¹⁰₁₈ of the earnings → 10 x 15 u = 150 u 

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

⁵₁₈ of the earnings → 5 x 15 u = 75 u

Number of daffodils sold that contributed to the rest of the earnings
= 75 u ÷ 3 u
= 25

Number of flowers sold
= 9 + 12 + 150 + 25
= 196

Answer(s): 196