Will had 200 more pens than Caden. Will gave 25% of his pens to Caden. Caden in return gave 80% of his pens to Will. In the end, Caden had 540 less pens than Will. How many pens did Will have at first?
| |
Will |
Caden |
Comparing Will
and Peter at first |
200 more |
|
| Before |
4 u + 200 |
4 u |
| Change 1 |
- 1 u - 50 |
+ 1 u + 50 |
| After 1 |
3 u + 150 |
5 u + 50 |
| Change 2 |
+ 4 u + 40 |
- 4 u - 40 |
| After 2 |
7 u + 190 |
1 u + 10 |
25% =
25100 =
1425% x 200
=
25100 x 200
= 50
80% x 50
=
80100 x 50
= 40
80% x 5 u
=
80100 x 5 u
= 4 u
Caden had 540 less pens than Will in the end. If another 540 pens are given to Caden, both will have the same number of pens.
7 u + 190 = 1 u + 10 + 540
7 u - 1 u = 10 + 540 - 190
6 u = 360
1 u = 360 ÷ 6 = 40
Number of Caden's pens at first
= 4 u
= 4 x 40
= 160
Answer: 160
