A stall was selling flowers. ¹₃ of the earnings are from the sale of 12 lavenders and 14 orchids. Of the rest of the earnings, ³₅ are from the sale of lavenders and ²₅ are from the sale of orchids. Each orchid costs twice as much as each lavender. How many flowers were sold?

12 lavenders and 14 orchids	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	3x2	2x2
5	6	4	15

Fraction of the earnings left after the sale of 12 lavenders and 14 orchids
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 5 is 10.

Cost of 1 lavender = 1 u
Cost of 1 orchid = 2 u

Cost of 12 lavenders = 12 x 1 u = 12 u
Cost of 14 orchids = 14 x 2 u = 28 u

Total cost of 12 lavenders and 14 orchids
= 12 u + 28 u
= 40 u

⁵₁₅ of the earnings → 40 u 
¹₁₅ of the earnings → 40 u ÷ 5 = 8 u 

⁶₁₅ of the earnings → 6 x 8 u = 48 u 

Number of lavenders sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48

⁴₁₅ of the earnings → 4 x 8 u = 32 u

Number of orchids sold that contributed to the rest of the earnings
= 32 u ÷ 2 u
= 16

Number of flowers sold
= 12 + 14 + 48 + 16
= 90

Answer(s): 90