A stall was selling flowers. ¹₅ of the earnings are from the sale of 11 carnations and 17 marigolds. Of the rest of the earnings, ³₅ are from the sale of carnations and ²₅ are from the sale of marigolds. Each marigold costs twice as much as each carnation. How many flowers were sold?

11 carnations and 17 marigolds	Rest of the earnings		Total earnings
1x5	4x5
	Roses	Carnations
	3x4	2x4
5	12	8	25

Fraction of the earnings left after the sale of 11 carnations and 17 marigolds
= 1 - ¹₅
= ⁴₅ 

The rest of the earnings is repeated. LCM of 4 and 5 is 20.

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

Cost of 11 carnations = 11 x 1 u = 11 u
Cost of 17 marigolds = 17 x 2 u = 34 u

Total cost of 11 carnations and 17 marigolds
= 11 u + 34 u
= 45 u

⁵₂₅ of the earnings → 45 u 
¹₂₅ of the earnings → 45 u ÷ 5 = 9 u 

¹²₂₅ of the earnings → 12 x 9 u = 108 u 

Number of carnations sold that contributed to the rest of the earnings
= 108 u ÷ 1 u
= 108

⁸₂₅ of the earnings → 8 x 9 u = 72 u

Number of marigolds sold that contributed to the rest of the earnings
= 72 u ÷ 2 u
= 36

Number of flowers sold
= 11 + 17 + 108 + 36
= 172

Answer(s): 172