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