Carl had $146 more than Gabriel. After Gabriel gave $137 to Carl, Carl had 3 times as much money as Gabriel. How much money did Carl have at first?
| |
Carl |
Gabriel |
Comparing between
Carl and Gabriel
at first |
$146 more |
|
| Before |
3 u - $137 |
1 u + $137 |
| Change |
+ $137 |
- $137 |
| After |
3 u |
1 u |
Carl had $146 more than Gabriel at first. If Gabriel had another $146 at first, both of them would had the same amount of money.
3 u - 137 = 1 u + 137 + 146
3 u - 137 = 1 u + 283
3 u - 1 u = 137 + 283
2 u = 420
1 u = 420 ÷ 2 = 210
Amount that Carl had at first
= 3 u - 137
= 3 x 210 - 137
= 630 - 137
= $493
Answer(s): $493
