Julian had $440 more than David at first. Julian gave $100 to David. As a result, David has
37 as much money as Julian. How much money had each of them at first?
- Julian
- David
| |
Julian |
David |
More |
| Before |
7 u + $100 |
3 u - $100 |
$440 |
| Change |
- $100 |
+ $100 |
|
| After |
7 u |
3 u |
|
(a)
Julian had $440 more than David at first. If David received another $440, Julian and David would have the same amount at first.
7 u + 100 = 3 u - 100 + 440
7 u + 100 = 3 u + 340
7 u - 3 u = 340 - 100
4 u = 240
1 u = 240 ÷ 4 = 60
Amount that Julian had at first
= 7 u + 100
= 7 x 60 + 100
= 420 + 100
= $520
(b)
Amount that David had at first
= 3 u - 100
= 3 x 60 - 100
= 180 - 100
= $80
Answer(s): (a) $520; (b) $80
