A stall was selling flowers. ¹₄ of the earnings are from the sale of 12 marigolds and 13 lavenders. Of the rest of the earnings, ³₄ are from the sale of marigolds and ¹₄ are from the sale of lavenders. Each lavender costs four times as much as each marigold. How many flowers were sold?

12 marigolds and 13 lavenders	Rest of the earnings		Total earnings
1x4	3x4
	Roses	Carnations
	3x3	1x3
4	9	3	16

Fraction of the earnings left after the sale of 12 marigolds and 13 lavenders
= 1 - ¹₄
= ³₄ 

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

Cost of 1 marigold = 1 u
Cost of 1 lavender = 4 u

Cost of 12 marigolds = 12 x 1 u = 12 u
Cost of 13 lavenders = 13 x 4 u = 52 u

Total cost of 12 marigolds and 13 lavenders
= 12 u + 52 u
= 64 u

⁴₁₆ of the earnings → 64 u 
¹₁₆ of the earnings → 64 u ÷ 4 = 16 u 

⁹₁₆ of the earnings → 9 x 16 u = 144 u 

Number of marigolds sold that contributed to the rest of the earnings
= 144 u ÷ 1 u
= 144

³₁₆ of the earnings → 3 x 16 u = 48 u

Number of lavenders sold that contributed to the rest of the earnings
= 48 u ÷ 4 u
= 12

Number of flowers sold
= 12 + 13 + 144 + 12
= 181

Answer(s): 181