Opal had five times as many pencils as pens. After giving away 33 pencils and selling 29 pencils, she found out that she had four times as many pencils as pens left.
- How many pencils did Opal have at first?
- How many pencils and pens did Opal have altogether at first?
|
Pencils |
Pens |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 33 |
|
- 1 u |
Change 2 |
- 29 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of pens remains unchanged.
Number of pencils that Opal gave away or sold
= 5 u - 4 u
= 1 u
1 u = 33 + 29 = 62
Number of pencils that Opal had at first
= 5 u
= 5 x 62
= 310
(b)
Total number of pencils and pens that Opal had at first
= 1 u + 5 u
= 6 u
= 6 x 62
= 372
Answer(s): (a) 310; (b) 372