Justin had $630 more than Fabian at first. Justin gave $90 to Fabian. As a result, Fabian has
49 as much money as Justin. How much money had each of them at first?
- Justin
- Fabian
| |
Justin |
Fabian |
More |
| Before |
9 u + $90 |
4 u - $90 |
$630 |
| Change |
- $90 |
+ $90 |
|
| After |
9 u |
4 u |
|
(a)
Justin had $630 more than Fabian at first. If Fabian received another $630, Justin and Fabian would have the same amount at first.
9 u + 90 = 4 u - 90 + 630
9 u + 90 = 4 u + 540
9 u - 4 u = 540 - 90
5 u = 450
1 u = 450 ÷ 5 = 90
Amount that Justin had at first
= 9 u + 90
= 9 x 90 + 90
= 810 + 90
= $900
(b)
Amount that Fabian had at first
= 4 u - 90
= 4 x 90 - 90
= 360 - 90
= $270
Answer(s): (a) $900; (b) $270
