Sabrina had five times as many files as notebooks. After giving away 46 files and selling 48 files, she found out that she had four times as many files as notebooks left.
- How many files did Sabrina have at first?
- How many files and notebooks did Sabrina have altogether at first?
|
Files |
Notebooks |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 46 |
|
- 1 u |
Change 2 |
- 48 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of notebooks remains unchanged.
Number of files that Sabrina gave away or sold
= 5 u - 4 u
= 1 u
1 u = 46 + 48 = 94
Number of files that Sabrina had at first
= 5 u
= 5 x 94
= 470
(b)
Total number of files and notebooks that Sabrina had at first
= 1 u + 5 u
= 6 u
= 6 x 94
= 564
Answer(s): (a) 470; (b) 564