Jean had four times as many notebooks as pencils. After giving away 28 notebooks and selling 25 notebooks, she found out that she had thrice as many notebooks as pencils left.
- How many notebooks did Jean have at first?
- How many notebooks and pencils did Jean have altogether at first?
|
Notebooks |
Pencils |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 28 |
|
- 1 u |
Change 2 |
- 25 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of pencils remains unchanged.
Number of notebooks that Jean gave away or sold
= 4 u - 3 u
= 1 u
1 u = 28 + 25 = 53
Number of notebooks that Jean had at first
= 4 u
= 4 x 53
= 212
(b)
Total number of notebooks and pencils that Jean had at first
= 1 u + 4 u
= 5 u
= 5 x 53
= 265
Answer(s): (a) 212; (b) 265