Xandra had five times as many pencils as staplers. After giving away 34 pencils and selling 30 pencils, she found out that she had four times as many pencils as staplers left.
- How many pencils did Xandra have at first?
- How many pencils and staplers did Xandra have altogether at first?
|
Pencils |
Staplers |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 34 |
|
- 1 u |
Change 2 |
- 30 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of staplers remains unchanged.
Number of pencils that Xandra gave away or sold
= 5 u - 4 u
= 1 u
1 u = 34 + 30 = 64
Number of pencils that Xandra had at first
= 5 u
= 5 x 64
= 320
(b)
Total number of pencils and staplers that Xandra had at first
= 1 u + 5 u
= 6 u
= 6 x 64
= 384
Answer(s): (a) 320; (b) 384