Ahmad had 100 more cards than Henry. Ahmad gave 25% of his cards to Henry. Henry in return gave 60% of his cards to Ahmad. In the end, Henry had 392 less cards than Ahmad. How many cards did Ahmad have at first?
| |
Ahmad |
Henry |
Comparing Ahmad
and Peter at first |
100 more |
|
| Before |
4 u + 100 |
4 u |
| Change 1 |
- 1 u - 25 |
+ 1 u + 25 |
| After 1 |
3 u + 75 |
5 u + 25 |
| Change 2 |
+ 3 u + 15 |
- 3 u - 15 |
| After 2 |
6 u + 90 |
2 u + 10 |
25% =
25100 =
1425% x 100
=
25100 x 100
= 25
60% x 25
=
60100 x 25
= 15
60% x 5 u
=
60100 x 5 u
= 3 u
Henry had 392 less cards than Ahmad in the end. If another 392 cards are given to Henry, both will have the same number of cards.
6 u + 90 = 2 u + 10 + 392
6 u - 2 u = 10 + 392 - 90
4 u = 312
1 u = 312 ÷ 4 = 39
Number of Henry's cards at first
= 4 u
= 4 x 39
= 156
Answer: 156
