Daniel had $200 more than Mark at first. Daniel gave $40 to Mark. As a result, Mark has
25 as much money as Daniel. How much money had each of them at first?
- Daniel
- Mark
| |
Daniel |
Mark |
More |
| Before |
5 u + $40 |
2 u - $40 |
$200 |
| Change |
- $40 |
+ $40 |
|
| After |
5 u |
2 u |
|
(a)
Daniel had $200 more than Mark at first. If Mark received another $200, Daniel and Mark would have the same amount at first.
5 u + 40 = 2 u - 40 + 200
5 u + 40 = 2 u + 160
5 u - 2 u = 160 - 40
3 u = 120
1 u = 120 ÷ 3 = 40
Amount that Daniel had at first
= 5 u + 40
= 5 x 40 + 40
= 200 + 40
= $240
(b)
Amount that Mark had at first
= 2 u - 40
= 2 x 40 - 40
= 80 - 40
= $40
Answer(s): (a) $240; (b) $40
