Glen had 140 more cards than Howard. Glen gave 25% of his cards to Howard. Howard in return gave 80% of his cards to Glen. In the end, Howard had 312 less cards than Glen. How many cards did Glen have at first?
| |
Glen |
Howard |
Comparing Glen
and Peter at first |
140 more |
|
| Before |
4 u + 140 |
4 u |
| Change 1 |
- 1 u - 35 |
+ 1 u + 35 |
| After 1 |
3 u + 105 |
5 u + 35 |
| Change 2 |
+ 4 u + 28 |
- 4 u - 28 |
| After 2 |
7 u + 133 |
1 u + 7 |
25% =
25100 =
1425% x 140
=
25100 x 140
= 35
80% x 35
=
80100 x 35
= 28
80% x 5 u
=
80100 x 5 u
= 4 u
Howard had 312 less cards than Glen in the end. If another 312 cards are given to Howard, both will have the same number of cards.
7 u + 133 = 1 u + 7 + 312
7 u - 1 u = 7 + 312 - 133
6 u = 186
1 u = 186 ÷ 6 = 31
Number of Howard's cards at first
= 4 u
= 4 x 31
= 124
Answer: 124
