A stall was selling flowers. ¹₄ of the earnings are from the sale of 8 lavenders and 11 carnations. Of the rest of the earnings, ³₅ are from the sale of lavenders and ²₅ are from the sale of carnations. Each carnation costs twice as much as each lavender. How many flowers were sold?

8 lavenders and 11 carnations	Rest of the earnings		Total earnings
1x5	3x5
	Roses	Carnations
	3x3	2x3
5	9	6	20

Fraction of the earnings left after the sale of 8 lavenders and 11 carnations
= 1 - ¹₄
= ³₄ 

The rest of the earnings is repeated. LCM of 3 and 5 is 15.

Cost of 1 lavender = 1 u
Cost of 1 carnation = 2 u

Cost of 8 lavenders = 8 x 1 u = 8 u
Cost of 11 carnations = 11 x 2 u = 22 u

Total cost of 8 lavenders and 11 carnations
= 8 u + 22 u
= 30 u

⁵₂₀ of the earnings → 30 u 
¹₂₀ of the earnings → 30 u ÷ 5 = 6 u 

⁹₂₀ of the earnings → 9 x 6 u = 54 u 

Number of lavenders sold that contributed to the rest of the earnings
= 54 u ÷ 1 u
= 54

⁶₂₀ of the earnings → 6 x 6 u = 36 u

Number of carnations sold that contributed to the rest of the earnings
= 36 u ÷ 2 u
= 18

Number of flowers sold
= 8 + 11 + 54 + 18
= 91

Answer(s): 91