A stall was selling flowers. ¹₄ of the earnings are from the sale of 7 carnations and 19 sunflowers. Of the rest of the earnings, ³₅ are from the sale of carnations and ²₅ are from the sale of sunflowers. Each sunflower costs twice as much as each carnation. How many flowers were sold?

7 carnations and 19 sunflowers	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 7 carnations and 19 sunflowers
= 1 - ¹₄
= ³₄ 

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

Cost of 1 carnation = 1 u
Cost of 1 sunflower = 2 u

Cost of 7 carnations = 7 x 1 u = 7 u
Cost of 19 sunflowers = 19 x 2 u = 38 u

Total cost of 7 carnations and 19 sunflowers
= 7 u + 38 u
= 45 u

⁵₂₀ of the earnings → 45 u 
¹₂₀ of the earnings → 45 u ÷ 5 = 9 u 

⁹₂₀ of the earnings → 9 x 9 u = 81 u 

Number of carnations sold that contributed to the rest of the earnings
= 81 u ÷ 1 u
= 81

⁶₂₀ of the earnings → 6 x 9 u = 54 u

Number of sunflowers sold that contributed to the rest of the earnings
= 54 u ÷ 2 u
= 27

Number of flowers sold
= 7 + 19 + 81 + 27
= 134

Answer(s): 134