Sarah spent $26 on some notebooks, staplers and markers. The number of notebooks she bought was
12 the number of staplers. The number of markers she bought was
35 the number of staplers. The ratio of the amount of money she spent on the notebooks, staplers and markers was 3 : 5 : 5. The staplers were sold at 5 for $5. Find the price of 1 notebook.
Amount spent |
Notebooks |
Staplers |
Markers |
Total |
3 u |
5 u |
5 u |
$26 |
Total amount that Sarah spent on notebooks, staplers and markers
= 3 u + 5 u + 5 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Amount that Sarah spent on staplers
= 5 u
= 5 x 2
= $10
Number of sets of staplers of 5 bought
= 10 ÷ 5
= 2
Number of staplers that Sarah bought
= 2 x 5
= 10
Number of items bought |
Notebooks |
Staplers |
Markers |
Total |
1x5 |
2x5 |
|
|
|
5x2 |
3x2 |
|
5 p |
10 p |
6 p |
21 p |
The number of staplers bought is repeated. Make the number of staplers bought is the same. LCM of 2 and 5 is 10.
Number of staplers that Sarah bought = 10 p
10 p = 10
1 p = 10 ÷ 10 = 1
Number of notebooks that Sarah bought
= 5 p
= 5 x 1
= 5
Amount that Sarah spent on notebooks
= 3 u
= 3 x 2
= $6
Price of 1 notebook
= 6 ÷ 5
= $1.20
Answer(s): $1.20