A stall was selling flowers. ¹₆ of the earnings are from the sale of 8 poppies and 18 peonies. Of the rest of the earnings, ³₄ are from the sale of poppies and ¹₄ are from the sale of peonies. Each peony costs four times as much as each poppy. How many flowers were sold?

8 poppies and 18 peonies	Rest of the earnings		Total earnings
1x4	5x4
	Roses	Carnations
	3x5	1x5
4	15	5	24

Fraction of the earnings left after the sale of 8 poppies and 18 peonies
= 1 - ¹₆
= ⁵₆ 

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

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

Cost of 8 poppies = 8 x 1 u = 8 u
Cost of 18 peonies = 18 x 4 u = 72 u

Total cost of 8 poppies and 18 peonies
= 8 u + 72 u
= 80 u

⁴₂₄ of the earnings → 80 u 
¹₂₄ of the earnings → 80 u ÷ 4 = 20 u 

¹⁵₂₄ of the earnings → 15 x 20 u = 300 u 

Number of poppies sold that contributed to the rest of the earnings
= 300 u ÷ 1 u
= 300

⁵₂₄ of the earnings → 5 x 20 u = 100 u

Number of peonies sold that contributed to the rest of the earnings
= 100 u ÷ 4 u
= 25

Number of flowers sold
= 8 + 18 + 300 + 25
= 351

Answer(s): 351