Warren had 120 more buttons than Bryan. Warren gave 20% of his buttons to Bryan. Bryan in return gave 50% of his buttons to Warren. In the end, Warren had 330 more buttons than Bryan. How many buttons did Warren have at first?
| |
Warren |
Bryan |
Comparing Warren
and Peter at first |
120 more |
|
| Before |
5 u + 120 |
5 u |
| Change 1 |
- 1 u - 24 |
+ 1 u + 24 |
| After 1 |
4 u + 96 |
6 u + 24 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
7 u + 108 |
3 u + 12 |
20% =
20100 =
1520% x 120
=
20100 x 120
= 24
50% x 24
=
50100 x 24
= 12
50% x 6 u
=
50100 x 6 u
= 3 u
Warren had 330 more buttons than Bryan in the end. If another 330 buttons are given to Bryan, both will have the same number of buttons.
7 u + 108 = 3 u + 12 + 330
7 u - 3 u = 12 + 330 - 108
9 u = 234
1 u = 234 ÷ 9 = 26
Number of Warren's buttons at first
= 5 u + 120
= 5 x 26 + 120
= 130 + 120
= 250
Answer: 250
