Daniel had $80 more than Jenson at first. Daniel gave $30 to Jenson. As a result, Jenson has
57 as much money as Daniel. How much money had each of them at first?
- Daniel
- Jenson
| |
Daniel |
Jenson |
More |
| Before |
7 u + $30 |
5 u - $30 |
$80 |
| Change |
- $30 |
+ $30 |
|
| After |
7 u |
5 u |
|
(a)
Daniel had $80 more than Jenson at first. If Jenson received another $80, Daniel and Jenson would have the same amount at first.
7 u + 30 = 5 u - 30 + 80
7 u + 30 = 5 u + 50
7 u - 5 u = 50 - 30
2 u = 20
1 u = 20 ÷ 2 = 10
Amount that Daniel had at first
= 7 u + 30
= 7 x 10 + 30
= 70 + 30
= $100
(b)
Amount that Jenson had at first
= 5 u - 30
= 5 x 10 - 30
= 50 - 30
= $20
Answer(s): (a) $100; (b) $20
