Dylan had 200 more cards than Japheth. Dylan gave 20% of his cards to Japheth. Japheth in return gave 50% of his cards to Dylan. In the end, Dylan had 534 more cards than Japheth. How many cards did Dylan have at first?
| |
Dylan |
Japheth |
Comparing Dylan
and Peter at first |
200 more |
|
| Before |
5 u + 200 |
5 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
4 u + 160 |
6 u + 40 |
| Change 2 |
+ 3 u + 20 |
- 3 u - 20 |
| After 2 |
7 u + 180 |
3 u + 20 |
20% =
20100 =
1520% x 200
=
20100 x 200
= 40
50% x 40
=
50100 x 40
= 20
50% x 6 u
=
50100 x 6 u
= 3 u
Dylan had 534 more cards than Japheth in the end. If another 534 cards are given to Japheth, both will have the same number of cards.
7 u + 180 = 3 u + 20 + 534
7 u - 3 u = 20 + 534 - 180
17 u = 374
1 u = 374 ÷ 17 = 22
Number of Dylan's cards at first
= 5 u + 200
= 5 x 22 + 200
= 110 + 200
= 310
Answer: 310
