Caden and Luke have a total of $285. If Luke gives Caden $22, Caden will have twice as much money as Luke. How much money has each of them at first?
- Luke
- Caden
|
Caden |
Luke |
Total |
Before |
2 u - $22 |
1 u + $22 |
$285 |
Change |
+ $22 |
- $22 |
|
After |
2 u |
1 u |
$285 |
(a)
Total amount that Caden and Luke have in the end
= 1 u + 2 u
= 3 u
3 u = 285
1 u = 285 ÷ 3 = 95
Amount that Luke has at first
= 1 u + 22
= 95 + 22
= $117
(b)
Amount that Caden has at first
= 285 - 117
= $168
Answer(s): (a) $117; (b) $168