Cole had $210 more than Carl at first. Cole gave $60 to Carl. As a result, Carl has
58 as much money as Cole. How much money had each of them at first?
- Cole
- Carl
|
Cole |
Carl |
More |
Before |
8 u + $60 |
5 u - $60 |
$210 |
Change |
- $60 |
+ $60 |
|
After |
8 u |
5 u |
|
(a)
Cole had $210 more than Carl at first. If Carl received another $210, Cole and Carl would have the same amount at first.
8 u + 60 = 5 u - 60 + 210
8 u + 60 = 5 u + 150
8 u - 5 u = 150 - 60
3 u = 90
1 u = 90 ÷ 3 = 30
Amount that Cole had at first
= 8 u + 60
= 8 x 30 + 60
= 240 + 60
= $300
(b)
Amount that Carl had at first
= 5 u - 60
= 5 x 30 - 60
= 150 - 60
= $90
Answer(s): (a) $300; (b) $90