A stall was selling flowers. ¹₅ of the earnings are from the sale of 10 lilies and 20 daisies. Of the rest of the earnings, ²₃ are from the sale of lilies and ¹₃ are from the sale of daisies. Each daisy costs four times as much as each lily. How many flowers were sold?

10 lilies and 20 daisies	Rest of the earnings		Total earnings
1x3	4x3
	Roses	Carnations
	2x4	1x4
3	8	4	15

Fraction of the earnings left after the sale of 10 lilies and 20 daisies
= 1 - ¹₅
= ⁴₅ 

The rest of the earnings is repeated. LCM of 4 and 3 is 12.

Cost of 1 lily = 1 u
Cost of 1 daisy = 4 u

Cost of 10 lilies = 10 x 1 u = 10 u
Cost of 20 daisies = 20 x 4 u = 80 u

Total cost of 10 lilies and 20 daisies
= 10 u + 80 u
= 90 u

³₁₅ of the earnings → 90 u 
¹₁₅ of the earnings → 90 u ÷ 3 = 30 u 

⁸₁₅ of the earnings → 8 x 30 u = 240 u 

Number of lilies sold that contributed to the rest of the earnings
= 240 u ÷ 1 u
= 240

⁴₁₅ of the earnings → 4 x 30 u = 120 u

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

Number of flowers sold
= 10 + 20 + 240 + 30
= 300

Answer(s): 300