Risa spent $76 on some staplers, notebooks and pencils. The number of staplers she bought was
12 the number of notebooks. The number of pencils she bought was
35 the number of notebooks. The ratio of the amount of money she spent on the staplers, notebooks and pencils was 7 : 7 : 5. The notebooks were sold at 5 for $7. Find the price of 1 stapler.
Amount spent |
Staplers |
Notebooks |
Pencils |
Total |
7 u |
7 u |
5 u |
$76 |
Total amount that Risa spent on staplers, notebooks and pencils
= 7 u + 7 u + 5 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
Amount that Risa spent on notebooks
= 7 u
= 7 x 4
= $28
Number of sets of notebooks of 5 bought
= 28 ÷ 7
= 4
Number of notebooks that Risa bought
= 4 x 5
= 20
Number of items bought |
Staplers |
Notebooks |
Pencils |
Total |
1x5 |
2x5 |
|
|
|
5x2 |
3x2 |
|
5 p |
10 p |
6 p |
21 p |
The number of notebooks bought is repeated. Make the number of notebooks bought is the same. LCM of 2 and 5 is 10.
Number of notebooks that Risa bought = 10 p
10 p = 20
1 p = 20 ÷ 10 = 2
Number of staplers that Risa bought
= 5 p
= 5 x 2
= 10
Amount that Risa spent on staplers
= 7 u
= 7 x 4
= $28
Price of 1 stapler
= 28 ÷ 10
= $2.80
Answer(s): $2.80