Winnie spent $95 on some staplers, files and markers. The number of staplers she bought was
12 the number of files. The number of markers she bought was
34 the number of files. The ratio of the amount of money she spent on the staplers, files and markers was 6 : 8 : 5. The files were sold at 2 for $10. Find the price of 1 stapler.
Amount spent |
Staplers |
Files |
Markers |
Total |
6 u |
8 u |
5 u |
$95 |
Total amount that Winnie spent on staplers, files and markers
= 6 u + 8 u + 5 u
= 19 u
19 u = 95
1 u = 95 ÷ 19 = 5
Amount that Winnie spent on files
= 8 u
= 8 x 5
= $40
Number of sets of files of 2 bought
= 40 ÷ 10
= 4
Number of files that Winnie bought
= 4 x 2
= 8
Number of items bought |
Staplers |
Files |
Markers |
Total |
1x2 |
2x2 |
|
|
|
4x1 |
3x1 |
|
2 p |
4 p |
3 p |
9 p |
The number of files bought is repeated. Make the number of files bought is the same. LCM of 2 and 4 is 4.
Number of files that Winnie bought = 4 p
4 p = 8
1 p = 8 ÷ 4 = 2
Number of staplers that Winnie bought
= 2 p
= 2 x 2
= 4
Amount that Winnie spent on staplers
= 6 u
= 6 x 5
= $30
Price of 1 stapler
= 30 ÷ 4
= $7.50
Answer(s): $7.50