A stall was selling flowers. ¹₄ of the earnings are from the sale of 8 marigolds and 19 lilies. Of the rest of the earnings, ³₅ are from the sale of marigolds and ²₅ are from the sale of lilies. Each lily costs thrice as much as each marigold. How many flowers were sold?

8 marigolds and 19 lilies	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 8 marigolds and 19 lilies
= 1 - ¹₄
= ³₄ 

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

Cost of 1 marigold = 1 u
Cost of 1 lily = 3 u

Cost of 8 marigolds = 8 x 1 u = 8 u
Cost of 19 lilies = 19 x 3 u = 57 u

Total cost of 8 marigolds and 19 lilies
= 8 u + 57 u
= 65 u

⁵₂₀ of the earnings → 65 u 
¹₂₀ of the earnings → 65 u ÷ 5 = 13 u 

⁹₂₀ of the earnings → 9 x 13 u = 117 u 

Number of marigolds sold that contributed to the rest of the earnings
= 117 u ÷ 1 u
= 117

⁶₂₀ of the earnings → 6 x 13 u = 78 u

Number of lilies sold that contributed to the rest of the earnings
= 78 u ÷ 3 u
= 26

Number of flowers sold
= 8 + 19 + 117 + 26
= 170

Answer(s): 170