A stall was selling flowers. ¹₃ of the earnings are from the sale of 8 sunflowers and 13 peonies. Of the rest of the earnings, ²₅ are from the sale of sunflowers and ³₅ are from the sale of peonies. Each peony costs four times as much as each sunflower. How many flowers were sold?

8 sunflowers and 13 peonies	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 8 sunflowers and 13 peonies
= 1 - ¹₃
= ²₃ 

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

Cost of 1 sunflower = 1 u
Cost of 1 peony = 4 u

Cost of 8 sunflowers = 8 x 1 u = 8 u
Cost of 13 peonies = 13 x 4 u = 52 u

Total cost of 8 sunflowers and 13 peonies
= 8 u + 52 u
= 60 u

⁵₁₅ of the earnings → 60 u 
¹₁₅ of the earnings → 60 u ÷ 5 = 12 u 

⁴₁₅ of the earnings → 4 x 12 u = 48 u 

Number of sunflowers sold that contributed to the rest of the earnings
= 48 u ÷ 1 u
= 48

⁶₁₅ of the earnings → 6 x 12 u = 72 u

Number of peonies sold that contributed to the rest of the earnings
= 72 u ÷ 4 u
= 18

Number of flowers sold
= 8 + 13 + 48 + 18
= 87

Answer(s): 87