Japheth had 170 more cards than Bryan. Japheth gave 20% of his cards to Bryan. Bryan in return gave 50% of his cards to Japheth. In the end, Japheth had 682 more cards than Bryan. How many cards did Japheth have at first?
| |
Japheth |
Bryan |
Comparing Japheth
and Peter at first |
170 more |
|
| Before |
5 u + 170 |
5 u |
| Change 1 |
- 1 u - 34 |
+ 1 u + 34 |
| After 1 |
4 u + 136 |
6 u + 34 |
| Change 2 |
+ 3 u + 17 |
- 3 u - 17 |
| After 2 |
7 u + 153 |
3 u + 17 |
20% =
20100 =
1520% x 170
=
20100 x 170
= 34
50% x 34
=
50100 x 34
= 17
50% x 6 u
=
50100 x 6 u
= 3 u
Japheth had 682 more cards than Bryan in the end. If another 682 cards are given to Bryan, both will have the same number of cards.
7 u + 153 = 3 u + 17 + 682
7 u - 3 u = 17 + 682 - 153
14 u = 546
1 u = 546 ÷ 14 = 39
Number of Japheth's cards at first
= 5 u + 170
= 5 x 39 + 170
= 195 + 170
= 365
Answer: 365
