Rachel had four times as many markers as pencils. After giving away 27 markers and selling 30 markers, she found out that she had thrice as many markers as pencils left.
- How many markers did Rachel have at first?
- How many markers and pencils did Rachel have altogether at first?
|
Markers |
Pencils |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 27 |
|
- 1 u |
Change 2 |
- 30 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of pencils remains unchanged.
Number of markers that Rachel gave away or sold
= 4 u - 3 u
= 1 u
1 u = 27 + 30 = 57
Number of markers that Rachel had at first
= 4 u
= 4 x 57
= 228
(b)
Total number of markers and pencils that Rachel had at first
= 1 u + 4 u
= 5 u
= 5 x 57
= 285
Answer(s): (a) 228; (b) 285