Barbara spent $171 on some markers, pencils and pens. The number of markers she bought was
23 the number of pencils. The number of pens she bought was
35 the number of pencils. The ratio of the amount of money she spent on the markers, pencils and pens was 8 : 5 : 6. The pencils were sold at 5 for $5. Find the price of 1 marker.
Amount spent |
Markers |
Pencils |
Pens |
Total |
8 u |
5 u |
6 u |
$171 |
Total amount that Barbara spent on markers, pencils and pens
= 8 u + 5 u + 6 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Amount that Barbara spent on pencils
= 5 u
= 5 x 9
= $45
Number of sets of pencils of 5 bought
= 45 ÷ 5
= 9
Number of pencils that Barbara bought
= 9 x 5
= 45
Number of items bought |
Markers |
Pencils |
Pens |
Total |
2x5 |
3x5 |
|
|
|
5x3 |
3x3 |
|
10 p |
15 p |
9 p |
34 p |
The number of pencils bought is repeated. Make the number of pencils bought is the same. LCM of 3 and 5 is 15.
Number of pencils that Barbara bought = 15 p
15 p = 45
1 p = 45 ÷ 15 = 3
Number of markers that Barbara bought
= 10 p
= 10 x 3
= 30
Amount that Barbara spent on markers
= 8 u
= 8 x 9
= $72
Price of 1 marker
= 72 ÷ 30
= $2.40
Answer(s): $2.40