Natalie had four times as many pens as pencils. After giving away 17 pens and selling 34 pens, she found out that she had thrice as many pens as pencils left.
- How many pens did Natalie have at first?
- How many pens and pencils did Natalie have altogether at first?
|
Pens |
Pencils |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 17 |
|
- 1 u |
Change 2 |
- 34 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of pencils remains unchanged.
Number of pens that Natalie gave away or sold
= 4 u - 3 u
= 1 u
1 u = 17 + 34 = 51
Number of pens that Natalie had at first
= 4 u
= 4 x 51
= 204
(b)
Total number of pens and pencils that Natalie had at first
= 1 u + 4 u
= 5 u
= 5 x 51
= 255
Answer(s): (a) 204; (b) 255