Winnie spent $119 on some notebooks, pens and staplers. The number of notebooks she bought was
14 the number of pens. The number of staplers she bought was
45 the number of pens. The ratio of the amount of money she spent on the notebooks, pens and staplers was 4 : 8 : 5. The pens were sold at 5 for $7. Find the price of 1 notebook.
Amount spent |
Notebooks |
Pens |
Staplers |
Total |
4 u |
8 u |
5 u |
$119 |
Total amount that Winnie spent on notebooks, pens and staplers
= 4 u + 8 u + 5 u
= 17 u
17 u = 119
1 u = 119 ÷ 17 = 7
Amount that Winnie spent on pens
= 8 u
= 8 x 7
= $56
Number of sets of pens of 5 bought
= 56 ÷ 7
= 8
Number of pens that Winnie bought
= 8 x 5
= 40
Number of items bought |
Notebooks |
Pens |
Staplers |
Total |
1x5 |
4x5 |
|
|
|
5x4 |
4x4 |
|
5 p |
20 p |
16 p |
41 p |
The number of pens bought is repeated. Make the number of pens bought is the same. LCM of 4 and 5 is 20.
Number of pens that Winnie bought = 20 p
20 p = 40
1 p = 40 ÷ 20 = 2
Number of notebooks that Winnie bought
= 5 p
= 5 x 2
= 10
Amount that Winnie spent on notebooks
= 4 u
= 4 x 7
= $28
Price of 1 notebook
= 28 ÷ 10
= $2.80
Answer(s): $2.80