Zara had thrice as many markers as files. After giving away 69 markers and selling 12 markers, she found out that she had twice as many markers as files left.
- How many markers did Zara have at first?
- How many markers and files did Zara have altogether at first?
|
Markers |
Files |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 69 |
|
- 1 u |
Change 2 |
- 12 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of files remains unchanged.
Number of markers that Zara gave away or sold
= 3 u - 2 u
= 1 u
1 u = 69 + 12 = 81
Number of markers that Zara had at first
= 3 u
= 3 x 81
= 243
(b)
Total number of markers and files that Zara had at first
= 1 u + 3 u
= 4 u
= 4 x 81
= 324
Answer(s): (a) 243; (b) 324