A stall was selling flowers. ¹₆ of the earnings are from the sale of 6 poppies and 10 carnations. Of the rest of the earnings, ²₃ are from the sale of poppies and ¹₃ are from the sale of carnations. Each carnation costs thrice as much as each poppy. How many flowers were sold?

6 poppies and 10 carnations	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 6 poppies and 10 carnations
= 1 - ¹₆
= ⁵₆ 

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

Cost of 1 poppy = 1 u
Cost of 1 carnation = 3 u

Cost of 6 poppies = 6 x 1 u = 6 u
Cost of 10 carnations = 10 x 3 u = 30 u

Total cost of 6 poppies and 10 carnations
= 6 u + 30 u
= 36 u

³₁₈ of the earnings → 36 u 
¹₁₈ of the earnings → 36 u ÷ 3 = 12 u 

¹⁰₁₈ of the earnings → 10 x 12 u = 120 u 

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

⁵₁₈ of the earnings → 5 x 12 u = 60 u

Number of carnations sold that contributed to the rest of the earnings
= 60 u ÷ 3 u
= 20

Number of flowers sold
= 6 + 10 + 120 + 20
= 156

Answer(s): 156