Brandon had 160 more erasers than Tommy. Brandon gave 25% of his erasers to Tommy. Tommy in return gave 60% of his erasers to Brandon. In the end, Brandon had 562 more erasers than Tommy. How many erasers did Brandon have at first?
| |
Brandon |
Tommy |
Comparing Brandon
and Peter at first |
160 more |
|
| Before |
4 u + 160 |
4 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
3 u + 120 |
5 u + 40 |
| Change 2 |
+ 3 u + 24 |
- 3 u - 24 |
| After 2 |
6 u + 144 |
2 u + 16 |
25% =
25100 =
1425% x 160
=
25100 x 160
= 40
60% x 40
=
60100 x 40
= 24
60% x 5 u
=
60100 x 5 u
= 3 u
Brandon had 562 more erasers than Tommy in the end. If another 562 erasers are given to Tommy, both will have the same number of erasers.
6 u + 144 = 2 u + 16 + 562
6 u - 2 u = 16 + 562 - 144
14 u = 434
1 u = 434 ÷ 14 = 31
Number of Brandon's erasers at first
= 4 u + 160
= 4 x 31 + 160
= 124 + 160
= 284
Answer: 284
