A stall was selling flowers. ¹₄ of the earnings are from the sale of 12 peonies and 17 poppies. Of the rest of the earnings, ³₅ are from the sale of peonies and ²₅ are from the sale of poppies. Each poppy costs four times as much as each peony. How many flowers were sold?

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

Fraction of the earnings left after the sale of 12 peonies and 17 poppies
= 1 - ¹₄
= ³₄ 

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

Cost of 1 peony = 1 u
Cost of 1 poppy = 4 u

Cost of 12 peonies = 12 x 1 u = 12 u
Cost of 17 poppies = 17 x 4 u = 68 u

Total cost of 12 peonies and 17 poppies
= 12 u + 68 u
= 80 u

⁵₂₀ of the earnings → 80 u 
¹₂₀ of the earnings → 80 u ÷ 5 = 16 u 

⁹₂₀ of the earnings → 9 x 16 u = 144 u 

Number of peonies sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144

⁶₂₀ of the earnings → 6 x 16 u = 96 u

Number of poppies sold that contributed to the rest of the earnings
= 96 u ÷ 4 u
= 24

Number of flowers sold
= 12 + 17 + 144 + 24
= 197

Answer(s): 197