Gabby had four times as many pencils as markers. After giving away 29 pencils and selling 32 pencils, she found out that she had thrice as many pencils as markers left.
- How many pencils did Gabby have at first?
- How many pencils and markers did Gabby have altogether at first?
|
Pencils |
Markers |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 29 |
|
- 1 u |
Change 2 |
- 32 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of markers remains unchanged.
Number of pencils that Gabby gave away or sold
= 4 u - 3 u
= 1 u
1 u = 29 + 32 = 61
Number of pencils that Gabby had at first
= 4 u
= 4 x 61
= 244
(b)
Total number of pencils and markers that Gabby had at first
= 1 u + 4 u
= 5 u
= 5 x 61
= 305
Answer(s): (a) 244; (b) 305