A stall was selling flowers. ¹₄ of the earnings are from the sale of 5 lilies and 15 roses. Of the rest of the earnings, ²₅ are from the sale of lilies and ³₅ are from the sale of roses. Each rose costs thrice as much as each lily. How many flowers were sold?

5 lilies and 15 roses	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 5 lilies and 15 roses
= 1 - ¹₄
= ³₄ 

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

Cost of 1 lily = 1 u
Cost of 1 rose = 3 u

Cost of 5 lilies = 5 x 1 u = 5 u
Cost of 15 roses = 15 x 3 u = 45 u

Total cost of 5 lilies and 15 roses
= 5 u + 45 u
= 50 u

⁵₂₀ of the earnings → 50 u 
¹₂₀ of the earnings → 50 u ÷ 5 = 10 u 

⁶₂₀ of the earnings → 6 x 10 u = 60 u 

Number of lilies sold that contributed to the rest of the earnings
= 60 u ÷ 1 u
= 60

⁹₂₀ of the earnings → 9 x 10 u = 90 u

Number of roses sold that contributed to the rest of the earnings
= 90 u ÷ 3 u
= 30

Number of flowers sold
= 5 + 15 + 60 + 30
= 110

Answer(s): 110