Ivan, Warren and Oscar shared a sum of money. The amount received by Warren was
56 the amount of money received by Oscar. After Ivan had given $51 to Warren and $21 to Oscar, Warren gave $4 to Oscar. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Ivan and Warren had at first.
|
Ivan |
Warren |
Oscar |
Before |
5 u + 119 |
5 u |
6 u |
Change 1 |
- 51 |
+ 51 |
|
Change 2 |
- 21 |
|
+ 21 |
Change 3 |
|
- 4 |
+ 4 |
After |
5 u + 47 |
5 u + 47 |
6 u + 25 |
Amount that Warren had in the end = 5 u + 47
Amount that Oscar had in the end = 6 u + 25
Amount that Ivan had at first
= 5 u + 47 + 51 + 21
= 5 u + 119
Amount that Warren and Oscar had in the end is the same.
5 u + 47 = 6 u + 25
6 u - 5 u = 47 - 25
1 u = 22
Amount that Ivan and Warren had in the end is the same.
Amount that Ivan had in the end
= 5 u + 47
= 5 x 22 + 47
= 110 + 47
= $157
Amount that Ivan had at first
= 157 + 51 + 21
= $229
Difference in the amounts between Ivan and Warren at first
= 229 - 110
= $119
Answer(s): $119