A stall was selling flowers. ¹₄ of the earnings are from the sale of 9 orchids and 17 peonies. Of the rest of the earnings, ²₅ are from the sale of orchids and ³₅ are from the sale of peonies. Each peony costs thrice as much as each orchid. How many flowers were sold?

9 orchids and 17 peonies	Rest of the earnings		Total earnings
1x5	3x5
	Roses	Carnations
	2x3	3x3
5	6	9	20

Fraction of the earnings left after the sale of 9 orchids and 17 peonies
= 1 - ¹₄
= ³₄ 

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

Cost of 1 orchid = 1 u
Cost of 1 peony = 3 u

Cost of 9 orchids = 9 x 1 u = 9 u
Cost of 17 peonies = 17 x 3 u = 51 u

Total cost of 9 orchids and 17 peonies
= 9 u + 51 u
= 60 u

⁵₂₀ of the earnings → 60 u 
¹₂₀ of the earnings → 60 u ÷ 5 = 12 u 

⁶₂₀ of the earnings → 6 x 12 u = 72 u 

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

⁹₂₀ of the earnings → 9 x 12 u = 108 u

Number of peonies sold that contributed to the rest of the earnings
= 108 u ÷ 3 u
= 36

Number of flowers sold
= 9 + 17 + 72 + 36
= 134

Answer(s): 134