Kimberly spent $102 on some markers, pens and notebooks. The number of markers she bought was
12 the number of pens. The number of notebooks she bought was
15 the number of pens. The ratio of the amount of money she spent on the markers, pens and notebooks was 7 : 5 : 5. The pens were sold at 4 for $6. Find the price of 1 marker.
Amount spent |
Markers |
Pens |
Notebooks |
Total |
7 u |
5 u |
5 u |
$102 |
Total amount that Kimberly spent on markers, pens and notebooks
= 7 u + 5 u + 5 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Amount that Kimberly spent on pens
= 5 u
= 5 x 6
= $30
Number of sets of pens of 4 bought
= 30 ÷ 6
= 5
Number of pens that Kimberly bought
= 5 x 4
= 20
Number of items bought |
Markers |
Pens |
Notebooks |
Total |
1x5 |
2x5 |
|
|
|
5x2 |
1x2 |
|
5 p |
10 p |
2 p |
17 p |
The number of pens bought is repeated. Make the number of pens bought is the same. LCM of 2 and 5 is 10.
Number of pens that Kimberly bought = 10 p
10 p = 20
1 p = 20 ÷ 10 = 2
Number of markers that Kimberly bought
= 5 p
= 5 x 2
= 10
Amount that Kimberly spent on markers
= 7 u
= 7 x 6
= $42
Price of 1 marker
= 42 ÷ 10
= $4.20
Answer(s): $4.20