Hazel had five times as many notebooks as pens. After giving away 69 notebooks and selling 19 notebooks, she found out that she had four times as many notebooks as pens left.
- How many notebooks did Hazel have at first?
- How many notebooks and pens did Hazel have altogether at first?
|
Notebooks |
Pens |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 69 |
|
- 1 u |
Change 2 |
- 19 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of pens remains unchanged.
Number of notebooks that Hazel gave away or sold
= 5 u - 4 u
= 1 u
1 u = 69 + 19 = 88
Number of notebooks that Hazel had at first
= 5 u
= 5 x 88
= 440
(b)
Total number of notebooks and pens that Hazel had at first
= 1 u + 5 u
= 6 u
= 6 x 88
= 528
Answer(s): (a) 440; (b) 528