Sarah spent
34 of her money on 14 pencils and 5 notebooks. The cost of each notebook is 2 times the cost of each pencil. She bought some more pencils with
12 of her remaining money. How many pencils did Sarah buy altogether?
| 14 pencils + 5 notebooks |
Remaining
amount |
Total
amount |
| 3 p = 24 u |
1 p = 8 u |
4 p |
14
pencils |
5
notebooks |
More pencils |
Left |
|
| |
|
1 |
1 |
|
| 14 u |
10 u |
4 u |
|
|
Cost of 1 pencil = 1 u
Cost of 1 notebook = 2 u
Cost of 14 pencils = 14 x 1 u = 14 u
Cost of 5 notebooks = 5 x 2 u = 10 u
Cost of 14 pencils + 5 notebooks
= 14 u + 10 u
= 24 u
3 p = 24 u
1 p = 24 u ÷ 3 = 8 u
Amount of remaining money that Sarah spent on buying more pencils
=
12 x 8 u
= 4 u
Number of pencils that Sarah bought with
12 of her remaining money
= 4 u ÷ 1 u
= 4
Total number of pencils that Sarah bought
= 14 + 4
= 18
Answer(s): 18
