A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 carnations and 19 roses. Of the rest of the earnings, ²₃ are from the sale of carnations and ¹₃ are from the sale of roses. Each rose costs four times as much as each carnation. How many flowers were sold?

8 carnations and 19 roses	Rest of the earnings		Total earnings
1x3	2x3
	Roses	Carnations
	2x2	1x2
3	4	2	9

Fraction of the earnings left after the sale of 8 carnations and 19 roses
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 3 is 6.

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

Cost of 8 carnations = 8 x 1 u = 8 u
Cost of 19 roses = 19 x 4 u = 76 u

Total cost of 8 carnations and 19 roses
= 8 u + 76 u
= 84 u

³₉ of the earnings → 84 u 
¹₉ of the earnings → 84 u ÷ 3 = 28 u 

⁴₉ of the earnings → 4 x 28 u = 112 u 

Number of carnations sold that contributed to the rest of the earnings
= 112 u ÷ 1 u
= 112

²₉ of the earnings → 2 x 28 u = 56 u

Number of roses sold that contributed to the rest of the earnings
= 56 u ÷ 4 u
= 14

Number of flowers sold
= 8 + 19 + 112 + 14
= 153

Answer(s): 153