Jane had five times as many pens as markers. After giving away 30 pens and selling 17 pens, she found out that she had four times as many pens as markers left.
- How many pens did Jane have at first?
- How many pens and markers did Jane have altogether at first?
|
Pens |
Markers |
Total |
Before |
5 u |
1 u |
6 u |
Change 1 |
- 30 |
|
- 1 u |
Change 2 |
- 17 |
|
After |
4 u |
1 u |
5 u |
(a)
The number of markers remains unchanged.
Number of pens that Jane gave away or sold
= 5 u - 4 u
= 1 u
1 u = 30 + 17 = 47
Number of pens that Jane had at first
= 5 u
= 5 x 47
= 235
(b)
Total number of pens and markers that Jane had at first
= 1 u + 5 u
= 6 u
= 6 x 47
= 282
Answer(s): (a) 235; (b) 282