Andy had 180 more stamps than Elijah. Andy gave 20% of his stamps to Elijah. Elijah in return gave 50% of his stamps to Andy. In the end, Andy had 444 more stamps than Elijah. How many stamps did Andy have at first?
| |
Andy |
Elijah |
Comparing Andy
and Peter at first |
180 more |
|
| Before |
5 u + 180 |
5 u |
| Change 1 |
- 1 u - 36 |
+ 1 u + 36 |
| After 1 |
4 u + 144 |
6 u + 36 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
7 u + 162 |
3 u + 18 |
20% =
20100 =
1520% x 180
=
20100 x 180
= 36
50% x 36
=
50100 x 36
= 18
50% x 6 u
=
50100 x 6 u
= 3 u
Andy had 444 more stamps than Elijah in the end. If another 444 stamps are given to Elijah, both will have the same number of stamps.
7 u + 162 = 3 u + 18 + 444
7 u - 3 u = 18 + 444 - 162
15 u = 300
1 u = 300 ÷ 15 = 20
Number of Andy's stamps at first
= 5 u + 180
= 5 x 20 + 180
= 100 + 180
= 280
Answer: 280
