George had 80 more erasers than Simon. George gave 25% of his erasers to Simon. Simon in return gave 60% of his erasers to George. In the end, Simon had 202 less erasers than George. How many erasers did George have at first?
| |
George |
Simon |
Comparing George
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
6 u + 72 |
2 u + 8 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
60% x 20
=
60100 x 20
= 12
60% x 5 u
=
60100 x 5 u
= 3 u
Simon had 202 less erasers than George in the end. If another 202 erasers are given to Simon, both will have the same number of erasers.
6 u + 72 = 2 u + 8 + 202
6 u - 2 u = 8 + 202 - 72
4 u = 138
1 u = 138 ÷ 4 = 23
Number of Simon's erasers at first
= 4 u
= 4 x 23
= 92
Answer: 92
