Brandon had 80 more erasers than Wesley. Brandon gave 25% of his erasers to Wesley. Wesley in return gave 60% of his erasers to Brandon. In the end, Brandon had 190 more erasers than Wesley. How many erasers did Brandon have at first?
| |
Brandon |
Wesley |
Comparing Brandon
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
6 u + 72 |
2 u + 8 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
60% x 20
=
60100 x 20
= 12
60% x 5 u
=
60100 x 5 u
= 3 u
Brandon had 190 more erasers than Wesley in the end. If another 190 erasers are given to Wesley, both will have the same number of erasers.
6 u + 72 = 2 u + 8 + 190
6 u - 2 u = 8 + 190 - 72
6 u = 126
1 u = 126 ÷ 6 = 21
Number of Brandon's erasers at first
= 4 u + 80
= 4 x 21 + 80
= 84 + 80
= 164
Answer: 164
