A stall was selling flowers. ¹₆ of the earnings are from the sale of 6 sunflowers and 14 tulips. Of the rest of the earnings, ³₄ are from the sale of sunflowers and ¹₄ are from the sale of tulips. Each tulip costs thrice as much as each sunflower. How many flowers were sold?

6 sunflowers and 14 tulips	Rest of the earnings		Total earnings
1x4	5x4
	Roses	Carnations
	3x5	1x5
4	15	5	24

Fraction of the earnings left after the sale of 6 sunflowers and 14 tulips
= 1 - ¹₆
= ⁵₆ 

The rest of the earnings is repeated. LCM of 5 and 4 is 20.

Cost of 1 sunflower = 1 u
Cost of 1 tulip = 3 u

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

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

⁴₂₄ of the earnings → 48 u 
¹₂₄ of the earnings → 48 u ÷ 4 = 12 u 

¹⁵₂₄ of the earnings → 15 x 12 u = 180 u 

Number of sunflowers sold that contributed to the rest of the earnings
= 180 u ÷ 1 u
= 180

⁵₂₄ of the earnings → 5 x 12 u = 60 u

Number of tulips sold that contributed to the rest of the earnings
= 60 u ÷ 3 u
= 20

Number of flowers sold
= 6 + 14 + 180 + 20
= 220

Answer(s): 220