Zeph had 200 more erasers than Valen. Zeph gave 25% of his erasers to Valen. Valen in return gave 60% of his erasers to Zeph. In the end, Zeph had 826 more erasers than Valen. How many erasers did Zeph have at first?
| |
Zeph |
Valen |
Comparing Zeph
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 |
+ 3 u + 30 |
- 3 u - 30 |
| After 2 |
6 u + 180 |
2 u + 20 |
25% =
25100 =
1425% x 200
=
25100 x 200
= 50
60% x 50
=
60100 x 50
= 30
60% x 5 u
=
60100 x 5 u
= 3 u
Zeph had 826 more erasers than Valen in the end. If another 826 erasers are given to Valen, both will have the same number of erasers.
6 u + 180 = 2 u + 20 + 826
6 u - 2 u = 20 + 826 - 180
18 u = 666
1 u = 666 ÷ 18 = 37
Number of Zeph's erasers at first
= 4 u + 200
= 4 x 37 + 200
= 148 + 200
= 348
Answer: 348
