Japheth had 100 more cards than Michael. Japheth gave 25% of his cards to Michael. Michael in return gave 80% of his cards to Japheth. In the end, Japheth had 190 more cards than Michael. How many cards did Japheth have at first?
| |
Japheth |
Michael |
Comparing Japheth
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 |
+ 4 u + 20 |
- 4 u - 20 |
| After 2 |
7 u + 95 |
1 u + 5 |
25% =
25100 =
1425% x 100
=
25100 x 100
= 25
80% x 25
=
80100 x 25
= 20
80% x 5 u
=
80100 x 5 u
= 4 u
Japheth had 190 more cards than Michael in the end. If another 190 cards are given to Michael, both will have the same number of cards.
7 u + 95 = 1 u + 5 + 190
7 u - 1 u = 5 + 190 - 95
4 u = 100
1 u = 100 ÷ 4 = 25
Number of Japheth's cards at first
= 4 u + 100
= 4 x 25 + 100
= 100 + 100
= 200
Answer: 200
