Jen spent $54 on some staplers, markers and pencils. The number of staplers she bought was
12 the number of markers. The number of pencils she bought was
34 the number of markers. The ratio of the amount of money she spent on the staplers, markers and pencils was 5 : 6 : 7. The markers were sold at 2 for $9. Find the price of 1 stapler.
Amount spent |
Staplers |
Markers |
Pencils |
Total |
5 u |
6 u |
7 u |
$54 |
Total amount that Jen spent on staplers, markers and pencils
= 5 u + 6 u + 7 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Amount that Jen spent on markers
= 6 u
= 6 x 3
= $18
Number of sets of markers of 2 bought
= 18 ÷ 9
= 2
Number of markers that Jen bought
= 2 x 2
= 4
Number of items bought |
Staplers |
Markers |
Pencils |
Total |
1x2 |
2x2 |
|
|
|
4x1 |
3x1 |
|
2 p |
4 p |
3 p |
9 p |
The number of markers bought is repeated. Make the number of markers bought is the same. LCM of 2 and 4 is 4.
Number of markers that Jen bought = 4 p
4 p = 4
1 p = 4 ÷ 4 = 1
Number of staplers that Jen bought
= 2 p
= 2 x 1
= 2
Amount that Jen spent on staplers
= 5 u
= 5 x 3
= $15
Price of 1 stapler
= 15 ÷ 2
= $7.50
Answer(s): $7.50