Gem had thrice as many markers as pens. After giving away 35 markers and selling 17 markers, she found out that she had twice as many markers as pens left.
- How many markers did Gem have at first?
- How many markers and pens did Gem have altogether at first?
|
Markers |
Pens |
Total |
Before |
3 u |
1 u |
4 u |
Change 1 |
- 35 |
|
- 1 u |
Change 2 |
- 17 |
|
After |
2 u |
1 u |
3 u |
(a)
The number of pens remains unchanged.
Number of markers that Gem gave away or sold
= 3 u - 2 u
= 1 u
1 u = 35 + 17 = 52
Number of markers that Gem had at first
= 3 u
= 3 x 52
= 156
(b)
Total number of markers and pens that Gem had at first
= 1 u + 3 u
= 4 u
= 4 x 52
= 208
Answer(s): (a) 156; (b) 208