Ivory had thrice as many files as pencils. After giving away 62 files and selling 27 files, she found out that she had twice as many files as pencils left.
- How many files did Ivory have at first?
- How many files and pencils did Ivory have altogether at first?
|
Files |
Pencils |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 62 |
|
- 1 u |
Change 2 |
- 27 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of pencils remains unchanged.
Number of files that Ivory gave away or sold
= 3 u - 2 u
= 1 u
1 u = 62 + 27 = 89
Number of files that Ivory had at first
= 3 u
= 3 x 89
= 267
(b)
Total number of files and pencils that Ivory had at first
= 1 u + 3 u
= 4 u
= 4 x 89
= 356
Answer(s): (a) 267; (b) 356