A stall was selling flowers. ¹₅ of the earnings are from the sale of 12 orchids and 12 carnations. Of the rest of the earnings, ²₅ are from the sale of orchids and ³₅ are from the sale of carnations. Each carnation costs four times as much as each orchid. How many flowers were sold?

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

Fraction of the earnings left after the sale of 12 orchids and 12 carnations
= 1 - ¹₅
= ⁴₅ 

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

Cost of 1 orchid = 1 u
Cost of 1 carnation = 4 u

Cost of 12 orchids = 12 x 1 u = 12 u
Cost of 12 carnations = 12 x 4 u = 48 u

Total cost of 12 orchids and 12 carnations
= 12 u + 48 u
= 60 u

⁵₂₅ of the earnings → 60 u 
¹₂₅ of the earnings → 60 u ÷ 5 = 12 u 

⁸₂₅ of the earnings → 8 x 12 u = 96 u 

Number of orchids sold that contributed to the rest of the earnings
= 96 u ÷ 1 u
= 96

¹²₂₅ of the earnings → 12 x 12 u = 144 u

Number of carnations sold that contributed to the rest of the earnings
= 144 u ÷ 4 u
= 36

Number of flowers sold
= 12 + 12 + 96 + 36
= 156

Answer(s): 156