A stall was selling flowers. ¹₄ of the earnings are from the sale of 6 roses and 11 carnations. Of the rest of the earnings, ³₅ are from the sale of roses and ²₅ are from the sale of carnations. Each carnation costs four times as much as each rose. How many flowers were sold?

6 roses 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 6 roses and 11 carnations
= 1 - ¹₄
= ³₄ 

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

Cost of 1 rose = 1 u
Cost of 1 carnation = 4 u

Cost of 6 roses = 6 x 1 u = 6 u
Cost of 11 carnations = 11 x 4 u = 44 u

Total cost of 6 roses and 11 carnations
= 6 u + 44 u
= 50 u

⁵₂₀ of the earnings → 50 u 
¹₂₀ of the earnings → 50 u ÷ 5 = 10 u 

⁹₂₀ of the earnings → 9 x 10 u = 90 u 

Number of roses sold that contributed to the rest of the earnings
= 90 u ÷ 1 u
= 90

⁶₂₀ of the earnings → 6 x 10 u = 60 u

Number of carnations sold that contributed to the rest of the earnings
= 60 u ÷ 4 u
= 15

Number of flowers sold
= 6 + 11 + 90 + 15
= 122

Answer(s): 122