Lucy had four times as many pencils as staplers. After giving away 34 pencils and selling 41 pencils, she found out that she had thrice as many pencils as staplers left.
- How many pencils did Lucy have at first?
- How many pencils and staplers did Lucy have altogether at first?
|
Pencils |
Staplers |
Total |
Before |
4 u |
1 u |
5 u |
Change 1 |
- 34 |
|
- 1 u |
Change 2 |
- 41 |
|
After |
3 u |
1 u |
4 u |
(a)
The number of staplers remains unchanged.
Number of pencils that Lucy gave away or sold
= 4 u - 3 u
= 1 u
1 u = 34 + 41 = 75
Number of pencils that Lucy had at first
= 4 u
= 4 x 75
= 300
(b)
Total number of pencils and staplers that Lucy had at first
= 1 u + 4 u
= 5 u
= 5 x 75
= 375
Answer(s): (a) 300; (b) 375