Zara had five times as many pencils as notebooks. After giving away 32 pencils and selling 25 pencils, she found out that she had four times as many pencils as notebooks left.
- How many pencils did Zara have at first?
- How many pencils and notebooks did Zara have altogether at first?
|
Pencils |
Notebooks |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 32 |
|
- 1 u |
Change 2 |
- 25 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of notebooks remains unchanged.
Number of pencils that Zara gave away or sold
= 5 u - 4 u
= 1 u
1 u = 32 + 25 = 57
Number of pencils that Zara had at first
= 5 u
= 5 x 57
= 285
(b)
Total number of pencils and notebooks that Zara had at first
= 1 u + 5 u
= 6 u
= 6 x 57
= 342
Answer(s): (a) 285; (b) 342