Elijah had $670 more than Seth at first. Elijah gave $20 to Seth. As a result, Seth has
29 as much money as Elijah. How much money had each of them at first?
- Elijah
- Seth
| |
Elijah |
Seth |
More |
| Before |
9 u + $20 |
2 u - $20 |
$670 |
| Change |
- $20 |
+ $20 |
|
| After |
9 u |
2 u |
|
(a)
Elijah had $670 more than Seth at first. If Seth received another $670, Elijah and Seth would have the same amount at first.
9 u + 20 = 2 u - 20 + 670
9 u + 20 = 2 u + 650
9 u - 2 u = 650 - 20
7 u = 630
1 u = 630 ÷ 7 = 90
Amount that Elijah had at first
= 9 u + 20
= 9 x 90 + 20
= 810 + 20
= $830
(b)
Amount that Seth had at first
= 2 u - 20
= 2 x 90 - 20
= 180 - 20
= $160
Answer(s): (a) $830; (b) $160
