Jen spent
23 of her money on 12 pencils and 8 files. The cost of each file is 2 times the cost of each pencil. She bought some more pencils with
12 of her remaining money. How many pencils did Jen buy altogether?
| 12 pencils + 8 files |
Remaining
amount |
Total
amount |
| 2 p = 28 u |
1 p = 14 u |
3 p |
12
pencils |
8
files |
More pencils |
Left |
|
| |
|
1 |
1 |
|
| 12 u |
16 u |
7 u |
|
|
Cost of 1 pencil = 1 u
Cost of 1 file = 2 u
Cost of 12 pencils = 12 x 1 u = 12 u
Cost of 8 files = 8 x 2 u = 16 u
Cost of 12 pencils + 8 files
= 12 u + 16 u
= 28 u
2 p = 28 u
1 p = 28 u ÷ 2 = 14 u
Amount of remaining money that Jen spent on buying more pencils
=
12 x 14 u
= 7 u
Number of pencils that Jen bought with
12 of her remaining money
= 7 u ÷ 1 u
= 7
Total number of pencils that Jen bought
= 12 + 7
= 19
Answer(s): 19
