Warren had 140 more pens than Seth. Warren gave 25% of his pens to Seth. Seth in return gave 60% of his pens to Warren. In the end, Warren had 388 more pens than Seth. How many pens did Warren have at first?
| |
Warren |
Seth |
Comparing Warren
and Peter at first |
140 more |
|
| Before |
4 u + 140 |
4 u |
| Change 1 |
- 1 u - 35 |
+ 1 u + 35 |
| After 1 |
3 u + 105 |
5 u + 35 |
| Change 2 |
+ 3 u + 21 |
- 3 u - 21 |
| After 2 |
6 u + 126 |
2 u + 14 |
25% =
25100 =
1425% x 140
=
25100 x 140
= 35
60% x 35
=
60100 x 35
= 21
60% x 5 u
=
60100 x 5 u
= 3 u
Warren had 388 more pens than Seth in the end. If another 388 pens are given to Seth, both will have the same number of pens.
6 u + 126 = 2 u + 14 + 388
6 u - 2 u = 14 + 388 - 126
12 u = 276
1 u = 276 ÷ 12 = 23
Number of Warren's pens at first
= 4 u + 140
= 4 x 23 + 140
= 92 + 140
= 232
Answer: 232
