Winnie spent
23 of her money on 14 pencils and 5 files. The cost of each file is 2 times the cost of each pencil. She bought some more pencils with
34 of her remaining money. How many pencils did Winnie buy altogether?
| 14 pencils + 5 files |
Remaining
amount |
Total
amount |
| 2 p = 24 u |
1 p = 12 u |
3 p |
14
pencils |
5
files |
More pencils |
Left |
|
| |
|
3 |
1 |
|
| 14 u |
10 u |
9 u |
|
|
Cost of 1 pencil = 1 u
Cost of 1 file = 2 u
Cost of 14 pencils = 14 x 1 u = 14 u
Cost of 5 files = 5 x 2 u = 10 u
Cost of 14 pencils + 5 files
= 14 u + 10 u
= 24 u
2 p = 24 u
1 p = 24 u ÷ 2 = 12 u
Amount of remaining money that Winnie spent on buying more pencils
=
34 x 12 u
= 9 u
Number of pencils that Winnie bought with
34 of her remaining money
= 9 u ÷ 1 u
= 9
Total number of pencils that Winnie bought
= 14 + 9
= 23
Answer(s): 23
