Seth had 100 more cards than Asher. Seth gave 25% of his cards to Asher. Asher in return gave 80% of his cards to Seth. In the end, Asher had 202 less cards than Seth. How many cards did Seth have at first?
| |
Seth |
Asher |
Comparing Seth
and Peter at first |
100 more |
|
| Before |
4 u + 100 |
4 u |
| Change 1 |
- 1 u - 25 |
+ 1 u + 25 |
| After 1 |
3 u + 75 |
5 u + 25 |
| Change 2 |
+ 4 u + 20 |
- 4 u - 20 |
| After 2 |
7 u + 95 |
1 u + 5 |
25% =
25100 =
1425% x 100
=
25100 x 100
= 25
80% x 25
=
80100 x 25
= 20
80% x 5 u
=
80100 x 5 u
= 4 u
Asher had 202 less cards than Seth in the end. If another 202 cards are given to Asher, both will have the same number of cards.
7 u + 95 = 1 u + 5 + 202
7 u - 1 u = 5 + 202 - 95
6 u = 112
1 u = 112 ÷ 6 = 28
Number of Asher's cards at first
= 4 u
= 4 x 28
= 112
Answer: 112
