Wendy spent $54 on some staplers, markers and pencils. The number of staplers she bought was
23 the number of markers. The number of pencils she bought was
12 the number of markers. The ratio of the amount of money she spent on the staplers, markers and pencils was 3 : 8 : 7. The markers were sold at 2 for $8. Find the price of 1 stapler.
Amount spent |
Staplers |
Markers |
Pencils |
Total |
3 u |
8 u |
7 u |
$54 |
Total amount that Wendy spent on staplers, markers and pencils
= 3 u + 8 u + 7 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Amount that Wendy spent on markers
= 8 u
= 8 x 3
= $24
Number of sets of markers of 2 bought
= 24 ÷ 8
= 3
Number of markers that Wendy bought
= 3 x 2
= 6
Number of items bought |
Staplers |
Markers |
Pencils |
Total |
2x2 |
3x2 |
|
|
|
2x3 |
1x3 |
|
4 p |
6 p |
3 p |
13 p |
The number of markers bought is repeated. Make the number of markers bought is the same. LCM of 3 and 2 is 6.
Number of markers that Wendy bought = 6 p
6 p = 6
1 p = 6 ÷ 6 = 1
Number of staplers that Wendy bought
= 4 p
= 4 x 1
= 4
Amount that Wendy spent on staplers
= 3 u
= 3 x 3
= $9
Price of 1 stapler
= 9 ÷ 4
= $2.25
Answer(s): $2.25