A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 lilies and 18 orchids. Of the rest of the earnings, ³₅ are from the sale of lilies and ²₅ are from the sale of orchids. Each orchid costs four times as much as each lily. How many flowers were sold?

8 lilies and 18 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 8 lilies and 18 orchids
= 1 - ¹₃
= ²₃ 

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

Cost of 1 lily = 1 u
Cost of 1 orchid = 4 u

Cost of 8 lilies = 8 x 1 u = 8 u
Cost of 18 orchids = 18 x 4 u = 72 u

Total cost of 8 lilies and 18 orchids
= 8 u + 72 u
= 80 u

⁵₁₅ of the earnings → 80 u 
¹₁₅ of the earnings → 80 u ÷ 5 = 16 u 

⁶₁₅ of the earnings → 6 x 16 u = 96 u 

Number of lilies sold that contributed to the rest of the earnings
= 96 u ÷ 1 u
= 96

⁴₁₅ of the earnings → 4 x 16 u = 64 u

Number of orchids sold that contributed to the rest of the earnings
= 64 u ÷ 4 u
= 16

Number of flowers sold
= 8 + 18 + 96 + 16
= 138

Answer(s): 138