Julian had $210 more than Cole at first. Julian gave $30 to Cole. As a result, Cole has
49 as much money as Julian. How much money had each of them at first?
- Julian
- Cole
| |
Julian |
Cole |
More |
| Before |
9 u + $30 |
4 u - $30 |
$210 |
| Change |
- $30 |
+ $30 |
|
| After |
9 u |
4 u |
|
(a)
Julian had $210 more than Cole at first. If Cole received another $210, Julian and Cole would have the same amount at first.
9 u + 30 = 4 u - 30 + 210
9 u + 30 = 4 u + 180
9 u - 4 u = 180 - 30
5 u = 150
1 u = 150 ÷ 5 = 30
Amount that Julian had at first
= 9 u + 30
= 9 x 30 + 30
= 270 + 30
= $300
(b)
Amount that Cole had at first
= 4 u - 30
= 4 x 30 - 30
= 120 - 30
= $90
Answer(s): (a) $300; (b) $90
