Elijah and Asher had a total of $330. Elijah gave $48 to Asher. In return, Asher gave
13 of his money to Elijah. In the end, Elijah had four times as much money as Asher. How much money did Elijah have at first?
| |
Elijah |
Asher |
Total |
| Before |
|
|
$330 |
| Change 1 |
- $48 |
+ $48 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Elijah
and Asher
in the end |
4 u |
1 u |
$330 |
The total amount that Asher and Elijah had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 330
1 u = 330 ÷ 5 = 66
Amount that Elijah has in the end
= 4 u
= 4 x 66
= $264
Amount that Asher has in the end
= 1 u
= $66
2 p = 1 u = 66
1 p = 66 ÷ 2 = 33
Amount that Asher gave to Elijah
= 1 p
= 1 x 33
= $33
Amount that Elijah had at first
= 264 - 33 + 48
= $279
Answer(s): $279
