Zoe spent $136 on some notebooks, pencils and markers. The number of notebooks she bought was
12 the number of pencils. The number of markers she bought was
25 the number of pencils. The ratio of the amount of money she spent on the notebooks, pencils and markers was 3 : 9 : 5. The pencils were sold at 5 for $6. Find the price of 1 notebook.
Amount spent |
Notebooks |
Pencils |
Markers |
Total |
3 u |
9 u |
5 u |
$136 |
Total amount that Zoe spent on notebooks, pencils and markers
= 3 u + 9 u + 5 u
= 17 u
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Zoe spent on pencils
= 9 u
= 9 x 8
= $72
Number of sets of pencils of 5 bought
= 72 ÷ 6
= 12
Number of pencils that Zoe bought
= 12 x 5
= 60
Number of items bought |
Notebooks |
Pencils |
Markers |
Total |
1x5 |
2x5 |
|
|
|
5x2 |
2x2 |
|
5 p |
10 p |
4 p |
19 p |
The number of pencils bought is repeated. Make the number of pencils bought is the same. LCM of 2 and 5 is 10.
Number of pencils that Zoe bought = 10 p
10 p = 60
1 p = 60 ÷ 10 = 6
Number of notebooks that Zoe bought
= 5 p
= 5 x 6
= 30
Amount that Zoe spent on notebooks
= 3 u
= 3 x 8
= $24
Price of 1 notebook
= 24 ÷ 30
= $0.80
Answer(s): $0.80