Jeremy had 200 more cards than Tim. Jeremy gave 25% of his cards to Tim. Tim in return gave 80% of his cards to Jeremy. In the end, Tim had 477 less cards than Jeremy. How many cards did Jeremy have at first?
| |
Jeremy |
Tim |
Comparing Jeremy
and Peter at first |
200 more |
|
| Before |
4 u + 200 |
4 u |
| Change 1 |
- 1 u - 50 |
+ 1 u + 50 |
| After 1 |
3 u + 150 |
5 u + 50 |
| Change 2 |
+ 4 u + 40 |
- 4 u - 40 |
| After 2 |
7 u + 190 |
1 u + 10 |
25% =
25100 =
1425% x 200
=
25100 x 200
= 50
80% x 50
=
80100 x 50
= 40
80% x 5 u
=
80100 x 5 u
= 4 u
Tim had 477 less cards than Jeremy in the end. If another 477 cards are given to Tim, both will have the same number of cards.
7 u + 190 = 1 u + 10 + 477
7 u - 1 u = 10 + 477 - 190
6 u = 297
1 u = 297 ÷ 6 = 33
Number of Tim's cards at first
= 4 u
= 4 x 33
= 132
Answer: 132
