Tina spent $200 on some markers, pencils and staplers. The number of markers she bought was
15 the number of pencils. The number of staplers she bought was
34 the number of pencils. The ratio of the amount of money she spent on the markers, pencils and staplers was 6 : 9 : 5. The pencils were sold at 4 for $9. Find the price of 1 marker.
Amount spent |
Markers |
Pencils |
Staplers |
Total |
6 u |
9 u |
5 u |
$200 |
Total amount that Tina spent on markers, pencils and staplers
= 6 u + 9 u + 5 u
= 20 u
20 u = 200
1 u = 200 ÷ 20 = 10
Amount that Tina spent on pencils
= 9 u
= 9 x 10
= $90
Number of sets of pencils of 4 bought
= 90 ÷ 9
= 10
Number of pencils that Tina bought
= 10 x 4
= 40
Number of items bought |
Markers |
Pencils |
Staplers |
Total |
1x4 |
5x4 |
|
|
|
4x5 |
3x5 |
|
4 p |
20 p |
15 p |
39 p |
The number of pencils bought is repeated. Make the number of pencils bought is the same. LCM of 5 and 4 is 20.
Number of pencils that Tina bought = 20 p
20 p = 40
1 p = 40 ÷ 20 = 2
Number of markers that Tina bought
= 4 p
= 4 x 2
= 8
Amount that Tina spent on markers
= 6 u
= 6 x 10
= $60
Price of 1 marker
= 60 ÷ 8
= $7.50
Answer(s): $7.50