A stall was selling flowers. ¹₃ of the earnings are from the sale of 6 sunflowers and 14 peonies. Of the rest of the earnings, ³₄ are from the sale of sunflowers and ¹₄ are from the sale of peonies. Each peony costs thrice as much as each sunflower. How many flowers were sold?

6 sunflowers and 14 peonies	Rest of the earnings		Total earnings
1x2	2x2
	Roses	Carnations
	3x1	1x1
2	3	1	6

Fraction of the earnings left after the sale of 6 sunflowers and 14 peonies
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 4 is 4.

Cost of 1 sunflower = 1 u
Cost of 1 peony = 3 u

Cost of 6 sunflowers = 6 x 1 u = 6 u
Cost of 14 peonies = 14 x 3 u = 42 u

Total cost of 6 sunflowers and 14 peonies
= 6 u + 42 u
= 48 u

²₆ of the earnings → 48 u 
¹₆ of the earnings → 48 u ÷ 2 = 24 u 

³₆ of the earnings → 3 x 24 u = 72 u 

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

¹₆ of the earnings → 1 x 24 u = 24 u

Number of peonies sold that contributed to the rest of the earnings
= 24 u ÷ 3 u
= 8

Number of flowers sold
= 6 + 14 + 72 + 8
= 100

Answer(s): 100