A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 lavenders and 19 peonies. Of the rest of the earnings, ²₅ are from the sale of lavenders and ³₅ are from the sale of peonies. Each peony costs thrice as much as each lavender. How many flowers were sold?

8 lavenders and 19 peonies	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	2x2	3x2
5	4	6	15

Fraction of the earnings left after the sale of 8 lavenders and 19 peonies
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 5 is 10.

Cost of 1 lavender = 1 u
Cost of 1 peony = 3 u

Cost of 8 lavenders = 8 x 1 u = 8 u
Cost of 19 peonies = 19 x 3 u = 57 u

Total cost of 8 lavenders and 19 peonies
= 8 u + 57 u
= 65 u

⁵₁₅ of the earnings → 65 u 
¹₁₅ of the earnings → 65 u ÷ 5 = 13 u 

⁴₁₅ of the earnings → 4 x 13 u = 52 u 

Number of lavenders sold that contributed to the rest of the earnings
= 52 u ÷ 1 u
= 52

⁶₁₅ of the earnings → 6 x 13 u = 78 u

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

Number of flowers sold
= 8 + 19 + 52 + 26
= 105

Answer(s): 105