Archie had 60 more stamps than Bobby. Archie gave 20% of his stamps to Bobby. Bobby in return gave 50% of his stamps to Archie. In the end, Archie had 162 more stamps than Bobby. How many stamps did Archie have at first?
| |
Archie |
Bobby |
Comparing Archie
and Peter at first |
60 more |
|
| Before |
5 u + 60 |
5 u |
| Change 1 |
- 1 u - 12 |
+ 1 u + 12 |
| After 1 |
4 u + 48 |
6 u + 12 |
| Change 2 |
+ 3 u + 6 |
- 3 u - 6 |
| After 2 |
7 u + 54 |
3 u + 6 |
20% =
20100 =
1520% x 60
=
20100 x 60
= 12
50% x 12
=
50100 x 12
= 6
50% x 6 u
=
50100 x 6 u
= 3 u
Archie had 162 more stamps than Bobby in the end. If another 162 stamps are given to Bobby, both will have the same number of stamps.
7 u + 54 = 3 u + 6 + 162
7 u - 3 u = 6 + 162 - 54
3 u = 114
1 u = 114 ÷ 3 = 38
Number of Archie's stamps at first
= 5 u + 60
= 5 x 38 + 60
= 190 + 60
= 250
Answer: 250
