Fred had 190 more cards than Cody. Fred gave 20% of his cards to Cody. Cody in return gave 50% of his cards to Fred. In the end, Cody had 632 less cards than Fred. How many cards did Fred have at first?
| |
Fred |
Cody |
Comparing Fred
and Peter at first |
190 more |
|
| Before |
5 u + 190 |
5 u |
| Change 1 |
- 1 u - 38 |
+ 1 u + 38 |
| After 1 |
4 u + 152 |
6 u + 38 |
| Change 2 |
+ 3 u + 19 |
- 3 u - 19 |
| After 2 |
7 u + 171 |
3 u + 19 |
20% =
20100 =
1520% x 190
=
20100 x 190
= 38
50% x 38
=
50100 x 38
= 19
50% x 6 u
=
50100 x 6 u
= 3 u
Cody had 632 less cards than Fred in the end. If another 632 cards are given to Cody, both will have the same number of cards.
7 u + 171 = 3 u + 19 + 632
7 u - 3 u = 19 + 632 - 171
4 u = 480
1 u = 480 ÷ 4 = 30
Number of Cody's cards at first
= 5 u
= 5 x 30
= 150
Answer: 150
