Brandon, Carl and Eric shared a sum of money. The amount received by Carl was
23 the amount of money received by Eric. After Brandon had given $53 to Carl and $28 to Eric, Carl gave $4 to Eric. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Brandon and Carl had at first.
|
Brandon |
Carl |
Eric |
Before |
2 u + 130 |
2 u |
3 u |
Change 1 |
- 53 |
+ 53 |
|
Change 2 |
- 28 |
|
+ 28 |
Change 3 |
|
- 4 |
+ 4 |
After |
2 u + 49 |
2 u + 49 |
3 u + 32 |
Amount that Carl had in the end = 2 u + 49
Amount that Eric had in the end = 3 u + 32
Amount that Brandon had at first
= 2 u + 49 + 53 + 28
= 2 u + 130
Amount that Carl and Eric had in the end is the same.
2 u + 49 = 3 u + 32
3 u - 2 u = 49 - 32
1 u = 17
Amount that Brandon and Carl had in the end is the same.
Amount that Brandon had in the end
= 2 u + 49
= 2 x 17 + 49
= 34 + 49
= $83
Amount that Brandon had at first
= 83 + 53 + 28
= $164
Difference in the amounts between Brandon and Carl at first
= 164 - 34
= $130
Answer(s): $130