A stall was selling flowers. ¹₃ of the earnings are from the sale of 9 lavenders and 14 poppies. Of the rest of the earnings, ³₅ are from the sale of lavenders and ²₅ are from the sale of poppies. Each poppy costs four times as much as each lavender. How many flowers were sold?

9 lavenders and 14 poppies	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	3x2	2x2
5	6	4	15

Fraction of the earnings left after the sale of 9 lavenders and 14 poppies
= 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 poppy = 4 u

Cost of 9 lavenders = 9 x 1 u = 9 u
Cost of 14 poppies = 14 x 4 u = 56 u

Total cost of 9 lavenders and 14 poppies
= 9 u + 56 u
= 65 u

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

⁶₁₅ of the earnings → 6 x 13 u = 78 u 

Number of lavenders sold that contributed to the rest of the earnings
= 78 u ÷ 1 u
= 78

⁴₁₅ of the earnings → 4 x 13 u = 52 u

Number of poppies sold that contributed to the rest of the earnings
= 52 u ÷ 4 u
= 13

Number of flowers sold
= 9 + 14 + 78 + 13
= 114

Answer(s): 114