A stall was selling flowers. ¹₅ of the earnings are from the sale of 5 peonies and 16 poppies. Of the rest of the earnings, ²₃ are from the sale of peonies and ¹₃ are from the sale of poppies. Each poppy costs four times as much as each peony. How many flowers were sold?

5 peonies and 16 poppies	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 5 peonies and 16 poppies
= 1 - ¹₅
= ⁴₅ 

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

Cost of 1 peony = 1 u
Cost of 1 poppy = 4 u

Cost of 5 peonies = 5 x 1 u = 5 u
Cost of 16 poppies = 16 x 4 u = 64 u

Total cost of 5 peonies and 16 poppies
= 5 u + 64 u
= 69 u

³₁₅ of the earnings → 69 u 
¹₁₅ of the earnings → 69 u ÷ 3 = 23 u 

⁸₁₅ of the earnings → 8 x 23 u = 184 u 

Number of peonies sold that contributed to the rest of the earnings
= 184 u ÷ 1 u
= 184

⁴₁₅ of the earnings → 4 x 23 u = 92 u

Number of poppies sold that contributed to the rest of the earnings
= 92 u ÷ 4 u
= 23

Number of flowers sold
= 5 + 16 + 184 + 23
= 228

Answer(s): 228