A stall was selling flowers. ¹₃ of the earnings are from the sale of 12 carnations and 14 marigolds. Of the rest of the earnings, ²₅ are from the sale of carnations and ³₅ are from the sale of marigolds. Each marigold costs twice as much as each carnation. How many flowers were sold?

12 carnations and 14 marigolds	Rest of the earnings		Total earnings
1x5	2x5
	Roses	Carnations
	2x2	3x2
5	4	6	15

Fraction of the earnings left after the sale of 12 carnations and 14 marigolds
= 1 - ¹₃
= ²₃ 

The rest of the earnings is repeated. LCM of 2 and 5 is 10.

Cost of 1 carnation = 1 u
Cost of 1 marigold = 2 u

Cost of 12 carnations = 12 x 1 u = 12 u
Cost of 14 marigolds = 14 x 2 u = 28 u

Total cost of 12 carnations and 14 marigolds
= 12 u + 28 u
= 40 u

⁵₁₅ of the earnings → 40 u 
¹₁₅ of the earnings → 40 u ÷ 5 = 8 u 

⁴₁₅ of the earnings → 4 x 8 u = 32 u 

Number of carnations sold that contributed to the rest of the earnings
= 32 u ÷ 1 u
= 32

⁶₁₅ of the earnings → 6 x 8 u = 48 u

Number of marigolds sold that contributed to the rest of the earnings
= 48 u ÷ 2 u
= 24

Number of flowers sold
= 12 + 14 + 32 + 24
= 82

Answer(s): 82