Tammy had four times as many pencils as notebooks. After giving away 35 pencils and selling 16 pencils, she found out that she had thrice as many pencils as notebooks left.
- How many pencils did Tammy have at first?
- How many pencils and notebooks did Tammy have altogether at first?
|
Pencils |
Notebooks |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 35 |
|
- 1 u |
Change 2 |
- 16 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of notebooks remains unchanged.
Number of pencils that Tammy gave away or sold
= 4 u - 3 u
= 1 u
1 u = 35 + 16 = 51
Number of pencils that Tammy had at first
= 4 u
= 4 x 51
= 204
(b)
Total number of pencils and notebooks that Tammy had at first
= 1 u + 4 u
= 5 u
= 5 x 51
= 255
Answer(s): (a) 204; (b) 255