Kathy had thrice as many pencils as files. After giving away 71 pencils and selling 26 pencils, she found out that she had twice as many pencils as files left.
- How many pencils did Kathy have at first?
- How many pencils and files did Kathy have altogether at first?
|
Pencils |
Files |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 71 |
|
- 1 u |
Change 2 |
- 26 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of files remains unchanged.
Number of pencils that Kathy gave away or sold
= 3 u - 2 u
= 1 u
1 u = 71 + 26 = 97
Number of pencils that Kathy had at first
= 3 u
= 3 x 97
= 291
(b)
Total number of pencils and files that Kathy had at first
= 1 u + 3 u
= 4 u
= 4 x 97
= 388
Answer(s): (a) 291; (b) 388