A stall was selling flowers. ¹₃ of the earnings are from the sale of 6 lavenders and 20 carnations. Of the rest of the earnings, ³₄ are from the sale of lavenders and ¹₄ are from the sale of carnations. Each carnation costs thrice as much as each lavender. How many flowers were sold?

6 lavenders and 20 carnations	Rest of the earnings		Total earnings
1x2	2x2
	Roses	Carnations
	3x1	1x1
2	3	1	6

Fraction of the earnings left after the sale of 6 lavenders and 20 carnations
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 4 is 4.

Cost of 1 lavender = 1 u
Cost of 1 carnation = 3 u

Cost of 6 lavenders = 6 x 1 u = 6 u
Cost of 20 carnations = 20 x 3 u = 60 u

Total cost of 6 lavenders and 20 carnations
= 6 u + 60 u
= 66 u

²₆ of the earnings → 66 u 
¹₆ of the earnings → 66 u ÷ 2 = 33 u 

³₆ of the earnings → 3 x 33 u = 99 u 

Number of lavenders sold that contributed to the rest of the earnings
= 99 u ÷ 1 u
= 99

¹₆ of the earnings → 1 x 33 u = 33 u

Number of carnations sold that contributed to the rest of the earnings
= 33 u ÷ 3 u
= 11

Number of flowers sold
= 6 + 20 + 99 + 11
= 136

Answer(s): 136