Wesley had 120 more erasers than Will. Wesley gave 25% of his erasers to Will. Will in return gave 80% of his erasers to Wesley. In the end, Will had 293 less erasers than Wesley. How many erasers did Wesley have at first?
| |
Wesley |
Will |
Comparing Wesley
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 4 u + 24 |
- 4 u - 24 |
| After 2 |
7 u + 114 |
1 u + 6 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
80% x 30
=
80100 x 30
= 24
80% x 5 u
=
80100 x 5 u
= 4 u
Will had 293 less erasers than Wesley in the end. If another 293 erasers are given to Will, both will have the same number of erasers.
7 u + 114 = 1 u + 6 + 293
7 u - 1 u = 6 + 293 - 114
6 u = 185
1 u = 185 ÷ 6 = 37
Number of Will's erasers at first
= 4 u
= 4 x 37
= 148
Answer: 148
