Bryan had 180 more cards than Jenson. Bryan gave 25% of his cards to Jenson. Jenson in return gave 80% of his cards to Bryan. In the end, Bryan had 442 more cards than Jenson. How many cards did Bryan have at first?
| |
Bryan |
Jenson |
Comparing Bryan
and Peter at first |
180 more |
|
| Before |
4 u + 180 |
4 u |
| Change 1 |
- 1 u - 45 |
+ 1 u + 45 |
| After 1 |
3 u + 135 |
5 u + 45 |
| Change 2 |
+ 4 u + 36 |
- 4 u - 36 |
| After 2 |
7 u + 171 |
1 u + 9 |
25% =
25100 =
1425% x 180
=
25100 x 180
= 45
80% x 45
=
80100 x 45
= 36
80% x 5 u
=
80100 x 5 u
= 4 u
Bryan had 442 more cards than Jenson in the end. If another 442 cards are given to Jenson, both will have the same number of cards.
7 u + 171 = 1 u + 9 + 442
7 u - 1 u = 9 + 442 - 171
8 u = 280
1 u = 280 ÷ 8 = 35
Number of Bryan's cards at first
= 4 u + 180
= 4 x 35 + 180
= 140 + 180
= 320
Answer: 320
