A stall was selling flowers. ¹₃ of the earnings are from the sale of 12 tulips and 15 peonies. Of the rest of the earnings, ²₃ are from the sale of tulips and ¹₃ are from the sale of peonies. Each peony costs four times as much as each tulip. How many flowers were sold?

12 tulips and 15 peonies	Rest of the earnings		Total earnings
1x3	2x3
	Roses	Carnations
	2x2	1x2
3	4	2	9

Fraction of the earnings left after the sale of 12 tulips and 15 peonies
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 3 is 6.

Cost of 1 tulip = 1 u
Cost of 1 peony = 4 u

Cost of 12 tulips = 12 x 1 u = 12 u
Cost of 15 peonies = 15 x 4 u = 60 u

Total cost of 12 tulips and 15 peonies
= 12 u + 60 u
= 72 u

³₉ of the earnings → 72 u 
¹₉ of the earnings → 72 u ÷ 3 = 24 u 

⁴₉ of the earnings → 4 x 24 u = 96 u 

Number of tulips sold that contributed to the rest of the earnings
= 96 u ÷ 1 u
= 96

²₉ of the earnings → 2 x 24 u = 48 u

Number of peonies sold that contributed to the rest of the earnings
= 48 u ÷ 4 u
= 12

Number of flowers sold
= 12 + 15 + 96 + 12
= 135

Answer(s): 135