Seth had $300 more than Cody at first. Seth gave $70 to Cody. As a result, Cody has
59 as much money as Seth. How much money had each of them at first?
- Seth
- Cody
| |
Seth |
Cody |
More |
| Before |
9 u + $70 |
5 u - $70 |
$300 |
| Change |
- $70 |
+ $70 |
|
| After |
9 u |
5 u |
|
(a)
Seth had $300 more than Cody at first. If Cody received another $300, Seth and Cody would have the same amount at first.
9 u + 70 = 5 u - 70 + 300
9 u + 70 = 5 u + 230
9 u - 5 u = 230 - 70
4 u = 160
1 u = 160 ÷ 4 = 40
Amount that Seth had at first
= 9 u + 70
= 9 x 40 + 70
= 360 + 70
= $430
(b)
Amount that Cody had at first
= 5 u - 70
= 5 x 40 - 70
= 200 - 70
= $130
Answer(s): (a) $430; (b) $130
