Julie had thrice as many notebooks as staplers. After giving away 77 notebooks and selling 23 notebooks, she found out that she had twice as many notebooks as staplers left.
- How many notebooks did Julie have at first?
- How many notebooks and staplers did Julie have altogether at first?
|
Notebooks |
Staplers |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 77 |
|
- 1 u |
Change 2 |
- 23 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of staplers remains unchanged.
Number of notebooks that Julie gave away or sold
= 3 u - 2 u
= 1 u
1 u = 77 + 23 = 100
Number of notebooks that Julie had at first
= 3 u
= 3 x 100
= 300
(b)
Total number of notebooks and staplers that Julie had at first
= 1 u + 3 u
= 4 u
= 4 x 100
= 400
Answer(s): (a) 300; (b) 400