Irene spent $104 on some staplers, pencils and markers. The number of staplers she bought was
14 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 staplers, pencils and markers was 4 : 7 : 2. The pencils were sold at 5 for $7. Find the price of 1 stapler.
Amount spent |
Staplers |
Pencils |
Markers |
Total |
4 u |
7 u |
2 u |
$104 |
Total amount that Irene spent on staplers, pencils and markers
= 4 u + 7 u + 2 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Irene spent on pencils
= 7 u
= 7 x 8
= $56
Number of sets of pencils of 5 bought
= 56 ÷ 7
= 8
Number of pencils that Irene bought
= 8 x 5
= 40
Number of items bought |
Staplers |
Pencils |
Markers |
Total |
1x5 |
4x5 |
|
|
|
5x4 |
2x4 |
|
5 p |
20 p |
8 p |
33 p |
The number of pencils bought is repeated. Make the number of pencils bought is the same. LCM of 4 and 5 is 20.
Number of pencils that Irene bought = 20 p
20 p = 40
1 p = 40 ÷ 20 = 2
Number of staplers that Irene bought
= 5 p
= 5 x 2
= 10
Amount that Irene spent on staplers
= 4 u
= 4 x 8
= $32
Price of 1 stapler
= 32 ÷ 10
= $3.20
Answer(s): $3.20