Xandra had four times as many markers as pens. After giving away 61 markers and selling 33 markers, she found out that she had thrice as many markers as pens left.
- How many markers did Xandra have at first?
- How many markers and pens did Xandra have altogether at first?
|
Markers |
Pens |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 61 |
|
- 1 u |
Change 2 |
- 33 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of pens remains unchanged.
Number of markers that Xandra gave away or sold
= 4 u - 3 u
= 1 u
1 u = 61 + 33 = 94
Number of markers that Xandra had at first
= 4 u
= 4 x 94
= 376
(b)
Total number of markers and pens that Xandra had at first
= 1 u + 4 u
= 5 u
= 5 x 94
= 470
Answer(s): (a) 376; (b) 470