Emily had four times as many pens as markers. After giving away 46 pens and selling 50 pens, she found out that she had thrice as many pens as markers left.
- How many pens did Emily have at first?
- How many pens and markers did Emily have altogether at first?
|
Pens |
Markers |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 46 |
|
- 1 u |
Change 2 |
- 50 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of markers remains unchanged.
Number of pens that Emily gave away or sold
= 4 u - 3 u
= 1 u
1 u = 46 + 50 = 96
Number of pens that Emily had at first
= 4 u
= 4 x 96
= 384
(b)
Total number of pens and markers that Emily had at first
= 1 u + 4 u
= 5 u
= 5 x 96
= 480
Answer(s): (a) 384; (b) 480