Julian had $510 more than Zeph at first. Julian gave $30 to Zeph. As a result, Zeph has
49 as much money as Julian. How much money had each of them at first?
- Julian
- Zeph
| |
Julian |
Zeph |
More |
| Before |
9 u + $30 |
4 u - $30 |
$510 |
| Change |
- $30 |
+ $30 |
|
| After |
9 u |
4 u |
|
(a)
Julian had $510 more than Zeph at first. If Zeph received another $510, Julian and Zeph would have the same amount at first.
9 u + 30 = 4 u - 30 + 510
9 u + 30 = 4 u + 480
9 u - 4 u = 480 - 30
5 u = 450
1 u = 450 ÷ 5 = 90
Amount that Julian had at first
= 9 u + 30
= 9 x 90 + 30
= 810 + 30
= $840
(b)
Amount that Zeph had at first
= 4 u - 30
= 4 x 90 - 30
= 360 - 30
= $330
Answer(s): (a) $840; (b) $330
