Charlie had $380 more than Paul at first. Charlie gave $10 to Paul. As a result, Paul has
59 as much money as Charlie. How much money had each of them at first?
- Charlie
- Paul
| |
Charlie |
Paul |
More |
| Before |
9 u + $10 |
5 u - $10 |
$380 |
| Change |
- $10 |
+ $10 |
|
| After |
9 u |
5 u |
|
(a)
Charlie had $380 more than Paul at first. If Paul received another $380, Charlie and Paul would have the same amount at first.
9 u + 10 = 5 u - 10 + 380
9 u + 10 = 5 u + 370
9 u - 5 u = 370 - 10
4 u = 360
1 u = 360 ÷ 4 = 90
Amount that Charlie had at first
= 9 u + 10
= 9 x 90 + 10
= 810 + 10
= $820
(b)
Amount that Paul had at first
= 5 u - 10
= 5 x 90 - 10
= 450 - 10
= $440
Answer(s): (a) $820; (b) $440
