A stall was selling flowers. ¹₅ of the earnings are from the sale of 7 lilies and 17 tulips. Of the rest of the earnings, ³₅ are from the sale of lilies and ²₅ are from the sale of tulips. Each tulip costs four times as much as each lily. How many flowers were sold?

7 lilies and 17 tulips	Rest of the earnings		Total earnings
1x5	4x5
	Roses	Carnations
	3x4	2x4
5	12	8	25

Fraction of the earnings left after the sale of 7 lilies and 17 tulips
= 1 - ¹₅
= ⁴₅ 

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

Cost of 1 lily = 1 u
Cost of 1 tulip = 4 u

Cost of 7 lilies = 7 x 1 u = 7 u
Cost of 17 tulips = 17 x 4 u = 68 u

Total cost of 7 lilies and 17 tulips
= 7 u + 68 u
= 75 u

⁵₂₅ of the earnings → 75 u 
¹₂₅ of the earnings → 75 u ÷ 5 = 15 u 

¹²₂₅ of the earnings → 12 x 15 u = 180 u 

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

⁸₂₅ of the earnings → 8 x 15 u = 120 u

Number of tulips sold that contributed to the rest of the earnings
= 120 u ÷ 4 u
= 30

Number of flowers sold
= 7 + 17 + 180 + 30
= 234

Answer(s): 234