Japheth had 130 more stamps than Daniel. Japheth gave 20% of his stamps to Daniel. Daniel in return gave 50% of his stamps to Japheth. In the end, Daniel had 364 less stamps than Japheth. How many stamps did Japheth have at first?
| |
Japheth |
Daniel |
Comparing Japheth
and Peter at first |
130 more |
|
| Before |
5 u + 130 |
5 u |
| Change 1 |
- 1 u - 26 |
+ 1 u + 26 |
| After 1 |
4 u + 104 |
6 u + 26 |
| Change 2 |
+ 3 u + 13 |
- 3 u - 13 |
| After 2 |
7 u + 117 |
3 u + 13 |
20% =
20100 =
1520% x 130
=
20100 x 130
= 26
50% x 26
=
50100 x 26
= 13
50% x 6 u
=
50100 x 6 u
= 3 u
Daniel had 364 less stamps than Japheth in the end. If another 364 stamps are given to Daniel, both will have the same number of stamps.
7 u + 117 = 3 u + 13 + 364
7 u - 3 u = 13 + 364 - 117
4 u = 260
1 u = 260 ÷ 4 = 26
Number of Daniel's stamps at first
= 5 u
= 5 x 26
= 130
Answer: 130
