Olivia spent $60 on some staplers, markers and pens. The number of staplers she bought was
23 the number of markers. The number of pens she bought was
35 the number of markers. The ratio of the amount of money she spent on the staplers, markers and pens was 2 : 5 : 3. The markers were sold at 3 for $6. Find the price of 1 stapler.
Amount spent |
Staplers |
Markers |
Pens |
Total |
2 u |
5 u |
3 u |
$60 |
Total amount that Olivia spent on staplers, markers and pens
= 2 u + 5 u + 3 u
= 10 u
10 u = 60
1 u = 60 ÷ 10 = 6
Amount that Olivia spent on markers
= 5 u
= 5 x 6
= $30
Number of sets of markers of 3 bought
= 30 ÷ 6
= 5
Number of markers that Olivia bought
= 5 x 3
= 15
Number of items bought |
Staplers |
Markers |
Pens |
Total |
2x5 |
3x5 |
|
|
|
5x3 |
3x3 |
|
10 p |
15 p |
9 p |
34 p |
The number of markers bought is repeated. Make the number of markers bought is the same. LCM of 3 and 5 is 15.
Number of markers that Olivia bought = 15 p
15 p = 15
1 p = 15 ÷ 15 = 1
Number of staplers that Olivia bought
= 10 p
= 10 x 1
= 10
Amount that Olivia spent on staplers
= 2 u
= 2 x 6
= $12
Price of 1 stapler
= 12 ÷ 10
= $1.20
Answer(s): $1.20