Olivia spent $126 on some staplers, pencils and markers. The number of staplers she bought was
12 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 5 : 5 : 8. The pencils were sold at 4 for $7. Find the price of 1 stapler.
Amount spent |
Staplers |
Pencils |
Markers |
Total |
5 u |
5 u |
8 u |
$126 |
Total amount that Olivia spent on staplers, pencils and markers
= 5 u + 5 u + 8 u
= 18 u
18 u = 126
1 u = 126 ÷ 18 = 7
Amount that Olivia spent on pencils
= 5 u
= 5 x 7
= $35
Number of sets of pencils of 4 bought
= 35 ÷ 7
= 5
Number of pencils that Olivia bought
= 5 x 4
= 20
Number of items bought |
Staplers |
Pencils |
Markers |
Total |
1x5 |
2x5 |
|
|
|
5x2 |
2x2 |
|
5 p |
10 p |
4 p |
19 p |
The number of pencils bought is repeated. Make the number of pencils bought is the same. LCM of 2 and 5 is 10.
Number of pencils that Olivia bought = 10 p
10 p = 20
1 p = 20 ÷ 10 = 2
Number of staplers that Olivia bought
= 5 p
= 5 x 2
= 10
Amount that Olivia spent on staplers
= 5 u
= 5 x 7
= $35
Price of 1 stapler
= 35 ÷ 10
= $3.50
Answer(s): $3.50