A stall was selling flowers. ¹₅ of the earnings are from the sale of 9 roses and 14 peonies. Of the rest of the earnings, ³₅ are from the sale of roses and ²₅ are from the sale of peonies. Each peony costs four times as much as each rose. How many flowers were sold?

9 roses and 14 peonies	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 9 roses and 14 peonies
= 1 - ¹₅
= ⁴₅ 

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

Cost of 1 rose = 1 u
Cost of 1 peony = 4 u

Cost of 9 roses = 9 x 1 u = 9 u
Cost of 14 peonies = 14 x 4 u = 56 u

Total cost of 9 roses and 14 peonies
= 9 u + 56 u
= 65 u

⁵₂₅ of the earnings → 65 u 
¹₂₅ of the earnings → 65 u ÷ 5 = 13 u 

¹²₂₅ of the earnings → 12 x 13 u = 156 u 

Number of roses sold that contributed to the rest of the earnings
= 156 u ÷ 1 u
= 156

⁸₂₅ of the earnings → 8 x 13 u = 104 u

Number of peonies sold that contributed to the rest of the earnings
= 104 u ÷ 4 u
= 26

Number of flowers sold
= 9 + 14 + 156 + 26
= 205

Answer(s): 205