Vincent had 150 more cards than Caden. Vincent gave 20% of his cards to Caden. Caden in return gave 50% of his cards to Vincent. In the end, Caden had 528 less cards than Vincent. How many cards did Vincent have at first?
| |
Vincent |
Caden |
Comparing Vincent
and Peter at first |
150 more |
|
| Before |
5 u + 150 |
5 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
4 u + 120 |
6 u + 30 |
| Change 2 |
+ 3 u + 15 |
- 3 u - 15 |
| After 2 |
7 u + 135 |
3 u + 15 |
20% =
20100 =
1520% x 150
=
20100 x 150
= 30
50% x 30
=
50100 x 30
= 15
50% x 6 u
=
50100 x 6 u
= 3 u
Caden had 528 less cards than Vincent in the end. If another 528 cards are given to Caden, both will have the same number of cards.
7 u + 135 = 3 u + 15 + 528
7 u - 3 u = 15 + 528 - 135
4 u = 408
1 u = 408 ÷ 4 = 34
Number of Caden's cards at first
= 5 u
= 5 x 34
= 170
Answer: 170
