Lucy had thrice as many notebooks as markers. After giving away 68 notebooks and selling 28 notebooks, she found out that she had twice as many notebooks as markers left.
- How many notebooks did Lucy have at first?
- How many notebooks and markers did Lucy have altogether at first?
|
Notebooks |
Markers |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 68 |
|
- 1 u |
Change 2 |
- 28 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of markers remains unchanged.
Number of notebooks that Lucy gave away or sold
= 3 u - 2 u
= 1 u
1 u = 68 + 28 = 96
Number of notebooks that Lucy had at first
= 3 u
= 3 x 96
= 288
(b)
Total number of notebooks and markers that Lucy had at first
= 1 u + 3 u
= 4 u
= 4 x 96
= 384
Answer(s): (a) 288; (b) 384