Elijah and Peter have a total of $296. If Peter gives Elijah $49, Elijah will have thrice as much money as Peter. How much money has each of them at first?
- Peter
- Elijah
|
Elijah |
Peter |
Total |
Before |
3 u - $49 |
1 u + $49 |
$296 |
Change |
+ $49 |
- $49 |
|
After |
3 u |
1 u |
$296 |
(a)
Total amount that Elijah and Peter have in the end
= 1 u + 3 u
= 4 u
4 u = 296
1 u = 296 ÷ 4 = 74
Amount that Peter has at first
= 1 u + 49
= 74 + 49
= $123
(b)
Amount that Elijah has at first
= 296 - 123
= $173
Answer(s): (a) $123; (b) $173