Penelope spent ²₃ of her money on 12 pencils and 6 notebooks. The cost of each notebook is 2 times the cost of each pencil. She bought some more pencils with ¹₂ of her remaining money. How many pencils did Penelope buy altogether?

12 pencils + 6 notebooks		Remaining  amount		Total amount
2 p = 24 u		1 p = 12 u		3 p
12 pencils	6 notebooks	More pencils	Left
		1	1
12 u	12 u	6 u

Cost of 1 pencil = 1 u
Cost of 1 notebook = 2 u

Cost of 12 pencils = 12 x 1 u = 12 u
Cost of 6 notebooks = 6 x 2 u = 12 u

Cost of 12 pencils + 6 notebooks
= 12 u + 12 u
= 24 u

2 p = 24 u

1 p = 24 u ÷ 2 = 12 u

Amount of remaining money that Penelope spent on buying more pencils
= ¹₂ x 12 u
= 6 u

Number of pencils that Penelope bought with ¹₂ of her remaining money
= 6 u ÷ 1 u
= 6

Total number of pencils that Penelope bought
= 12 + 6
= 18

Answer(s): 18