Julian had $200 more than Charlie at first. Julian gave $50 to Charlie. As a result, Charlie has
49 as much money as Julian. How much money had each of them at first?
- Julian
- Charlie
| |
Julian |
Charlie |
More |
| Before |
9 u + $50 |
4 u - $50 |
$200 |
| Change |
- $50 |
+ $50 |
|
| After |
9 u |
4 u |
|
(a)
Julian had $200 more than Charlie at first. If Charlie received another $200, Julian and Charlie would have the same amount at first.
9 u + 50 = 4 u - 50 + 200
9 u + 50 = 4 u + 150
9 u - 4 u = 150 - 50
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Julian had at first
= 9 u + 50
= 9 x 20 + 50
= 180 + 50
= $230
(b)
Amount that Charlie had at first
= 4 u - 50
= 4 x 20 - 50
= 80 - 50
= $30
Answer(s): (a) $230; (b) $30
