A stall was selling flowers. ¹₅ of the earnings are from the sale of 5 carnations and 11 orchids. Of the rest of the earnings, ²₃ are from the sale of carnations and ¹₃ are from the sale of orchids. Each orchid costs twice as much as each carnation. How many flowers were sold?

5 carnations and 11 orchids	Rest of the earnings		Total earnings
1x3	4x3
	Roses	Carnations
	2x4	1x4
3	8	4	15

Fraction of the earnings left after the sale of 5 carnations and 11 orchids
= 1 - ¹₅
= ⁴₅ 

The rest of the earnings is repeated. LCM of 4 and 3 is 12.

Cost of 1 carnation = 1 u
Cost of 1 orchid = 2 u

Cost of 5 carnations = 5 x 1 u = 5 u
Cost of 11 orchids = 11 x 2 u = 22 u

Total cost of 5 carnations and 11 orchids
= 5 u + 22 u
= 27 u

³₁₅ of the earnings → 27 u 
¹₁₅ of the earnings → 27 u ÷ 3 = 9 u 

⁸₁₅ of the earnings → 8 x 9 u = 72 u 

Number of carnations sold that contributed to the rest of the earnings
= 72 u ÷ 1 u
= 72

⁴₁₅ of the earnings → 4 x 9 u = 36 u

Number of orchids sold that contributed to the rest of the earnings
= 36 u ÷ 2 u
= 18

Number of flowers sold
= 5 + 11 + 72 + 18
= 106

Answer(s): 106