Elijah had 120 more erasers than Brandon. Elijah gave 25% of his erasers to Brandon. Brandon in return gave 60% of his erasers to Elijah. In the end, Elijah had 386 more erasers than Brandon. How many erasers did Elijah have at first?
| |
Elijah |
Brandon |
Comparing Elijah
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
6 u + 108 |
2 u + 12 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
60% x 30
=
60100 x 30
= 18
60% x 5 u
=
60100 x 5 u
= 3 u
Elijah had 386 more erasers than Brandon in the end. If another 386 erasers are given to Brandon, both will have the same number of erasers.
6 u + 108 = 2 u + 12 + 386
6 u - 2 u = 12 + 386 - 108
10 u = 290
1 u = 290 ÷ 10 = 29
Number of Elijah's erasers at first
= 4 u + 120
= 4 x 29 + 120
= 116 + 120
= 236
Answer: 236
