Rachel had five times as many notebooks as files. After giving away 19 notebooks and selling 32 notebooks, she found out that she had four times as many notebooks as files left.
- How many notebooks did Rachel have at first?
- How many notebooks and files did Rachel have altogether at first?
|
Notebooks |
Files |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 19 |
|
- 1 u |
Change 2 |
- 32 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of files remains unchanged.
Number of notebooks that Rachel gave away or sold
= 5 u - 4 u
= 1 u
1 u = 19 + 32 = 51
Number of notebooks that Rachel had at first
= 5 u
= 5 x 51
= 255
(b)
Total number of notebooks and files that Rachel had at first
= 1 u + 5 u
= 6 u
= 6 x 51
= 306
Answer(s): (a) 255; (b) 306