Gwen spent $36 on some notebooks, staplers and pencils. The number of notebooks she bought was
23 the number of staplers. The number of pencils she bought was
34 the number of staplers. The ratio of the amount of money she spent on the notebooks, staplers and pencils was 2 : 7 : 3. The staplers were sold at 4 for $7. Find the price of 1 notebook.
Amount spent |
Notebooks |
Staplers |
Pencils |
Total |
2 u |
7 u |
3 u |
$36 |
Total amount that Gwen spent on notebooks, staplers and pencils
= 2 u + 7 u + 3 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Amount that Gwen spent on staplers
= 7 u
= 7 x 3
= $21
Number of sets of staplers of 4 bought
= 21 ÷ 7
= 3
Number of staplers that Gwen bought
= 3 x 4
= 12
Number of items bought |
Notebooks |
Staplers |
Pencils |
Total |
2x4 |
3x4 |
|
|
|
4x3 |
3x3 |
|
8 p |
12 p |
9 p |
29 p |
The number of staplers bought is repeated. Make the number of staplers bought is the same. LCM of 3 and 4 is 12.
Number of staplers that Gwen bought = 12 p
12 p = 12
1 p = 12 ÷ 12 = 1
Number of notebooks that Gwen bought
= 8 p
= 8 x 1
= 8
Amount that Gwen spent on notebooks
= 2 u
= 2 x 3
= $6
Price of 1 notebook
= 6 ÷ 8
= $0.75
Answer(s): $0.75