Rachel had four times as many pencils as files. After giving away 26 pencils and selling 18 pencils, she found out that she had thrice as many pencils as files left.
- How many pencils did Rachel have at first?
- How many pencils and files did Rachel have altogether at first?
|
Pencils |
Files |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 26 |
|
- 1 u |
Change 2 |
- 18 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of files remains unchanged.
Number of pencils that Rachel gave away or sold
= 4 u - 3 u
= 1 u
1 u = 26 + 18 = 44
Number of pencils that Rachel had at first
= 4 u
= 4 x 44
= 176
(b)
Total number of pencils and files that Rachel had at first
= 1 u + 4 u
= 5 u
= 5 x 44
= 220
Answer(s): (a) 176; (b) 220