Yen spent $176 on some notebooks, markers and pens. The number of notebooks she bought was ²₃ the number of markers. The number of pens she bought was ¹₂ the number of markers. The ratio of the amount of money she spent on the notebooks, markers and pens was 7 : 6 : 9. The markers were sold at 4 for $8. Find the price of 1 notebook.

Amount spent
Notebooks	Markers	Pens	Total
7 u	6 u	9 u	$176

Total amount that Yen spent on notebooks, markers and pens
= 7 u + 6 u + 9 u
= 22 u

22 u = 176

1 u = 176 ÷ 22 = 8

Amount that Yen spent on markers
= 6 u
= 6 x 8
= $48

Number of sets of markers of 4 bought
= 48 ÷ 8
= 6

Number of markers that Yen bought
= 6 x 4
= 24

Number of items bought
Notebooks	Markers	Pens	Total
2x2	3x2
	2x3	1x3
4 p	6 p	3 p	13 p

The number of markers bought is repeated.  Make the number of markers bought is the same.  LCM of 3 and 2 is 6.

Number of markers that Yen bought = 6 p

6 p = 24

1 p = 24 ÷ 6 = 4

Number of notebooks that Yen bought
= 4 p
= 4 x 4
= 16

Amount that Yen spent on notebooks
= 7 u
= 7 x 8
= $56

Price of 1 notebook
= 56 ÷ 16
= $3.50

Answer(s): $3.50