Gwen had thrice as many pencils as pens. After giving away 22 pencils and selling 34 pencils, she found out that she had twice as many pencils as pens left.
- How many pencils did Gwen have at first?
- How many pencils and pens did Gwen have altogether at first?
|
Pencils |
Pens |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 22 |
|
- 1 u |
Change 2 |
- 34 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of pens remains unchanged.
Number of pencils that Gwen gave away or sold
= 3 u - 2 u
= 1 u
1 u = 22 + 34 = 56
Number of pencils that Gwen had at first
= 3 u
= 3 x 56
= 168
(b)
Total number of pencils and pens that Gwen had at first
= 1 u + 3 u
= 4 u
= 4 x 56
= 224
Answer(s): (a) 168; (b) 224