Warren, Jenson and Mark shared a sum of money. The amount received by Jenson was
23 the amount of money received by Mark. After Warren had given $47 to Jenson and $29 to Mark, Jenson gave $5 to Mark. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Warren and Jenson had at first.
|
Warren |
Jenson |
Mark |
Before |
2 u + 118 |
2 u |
3 u |
Change 1 |
- 47 |
+ 47 |
|
Change 2 |
- 29 |
|
+ 29 |
Change 3 |
|
- 5 |
+ 5 |
After |
2 u + 42 |
2 u + 42 |
3 u + 34 |
Amount that Jenson had in the end = 2 u + 42
Amount that Mark had in the end = 3 u + 34
Amount that Warren had at first
= 2 u + 42 + 47 + 29
= 2 u + 118
Amount that Jenson and Mark had in the end is the same.
2 u + 42 = 3 u + 34
3 u - 2 u = 42 - 34
1 u = 8
Amount that Warren and Jenson had in the end is the same.
Amount that Warren had in the end
= 2 u + 42
= 2 x 8 + 42
= 16 + 42
= $58
Amount that Warren had at first
= 58 + 47 + 29
= $134
Difference in the amounts between Warren and Jenson at first
= 134 - 16
= $118
Answer(s): $118