Fanny had thrice as many pens as pencils. After giving away 37 pens and selling 34 pens, she found out that she had twice as many pens as pencils left.
- How many pens did Fanny have at first?
- How many pens and pencils did Fanny have altogether at first?
|
Pens |
Pencils |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 37 |
|
- 1 u |
Change 2 |
- 34 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of pencils remains unchanged.
Number of pens that Fanny gave away or sold
= 3 u - 2 u
= 1 u
1 u = 37 + 34 = 71
Number of pens that Fanny had at first
= 3 u
= 3 x 71
= 213
(b)
Total number of pens and pencils that Fanny had at first
= 1 u + 3 u
= 4 u
= 4 x 71
= 284
Answer(s): (a) 213; (b) 284