A stall was selling flowers. ¹₄ of the earnings are from the sale of 8 roses and 20 peonies. Of the rest of the earnings, ³₄ are from the sale of roses and ¹₄ are from the sale of peonies. Each peony costs thrice as much as each rose. How many flowers were sold?

8 roses and 20 peonies	Rest of the earnings		Total earnings
1x4	3x4
	Roses	Carnations
	3x3	1x3
4	9	3	16

Fraction of the earnings left after the sale of 8 roses and 20 peonies
= 1 - ¹₄
= ³₄ 

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

Cost of 1 rose = 1 u
Cost of 1 peony = 3 u

Cost of 8 roses = 8 x 1 u = 8 u
Cost of 20 peonies = 20 x 3 u = 60 u

Total cost of 8 roses and 20 peonies
= 8 u + 60 u
= 68 u

⁴₁₆ of the earnings → 68 u 
¹₁₆ of the earnings → 68 u ÷ 4 = 17 u 

⁹₁₆ of the earnings → 9 x 17 u = 153 u 

Number of roses sold that contributed to the rest of the earnings
= 153 u ÷ 1 u
= 153

³₁₆ of the earnings → 3 x 17 u = 51 u

Number of peonies sold that contributed to the rest of the earnings
= 51 u ÷ 3 u
= 17

Number of flowers sold
= 8 + 20 + 153 + 17
= 198

Answer(s): 198