Xavier had 120 more cards than Carl. Xavier gave 25% of his cards to Carl. Carl in return gave 60% of his cards to Xavier. In the end, Carl had 396 less cards than Xavier. How many cards did Xavier have at first?
| |
Xavier |
Carl |
Comparing Xavier
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
6 u + 108 |
2 u + 12 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
60% x 30
=
60100 x 30
= 18
60% x 5 u
=
60100 x 5 u
= 3 u
Carl had 396 less cards than Xavier in the end. If another 396 cards are given to Carl, both will have the same number of cards.
6 u + 108 = 2 u + 12 + 396
6 u - 2 u = 12 + 396 - 108
4 u = 300
1 u = 300 ÷ 4 = 30
Number of Carl's cards at first
= 4 u
= 4 x 30
= 120
Answer: 120
