Lee, Oliver and Cody shared a sum of money. The amount received by Oliver was
34 the amount of money received by Cody. After Lee had given $53 to Oliver and $25 to Cody, Oliver gave $2 to Cody. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Lee and Oliver had at first.
|
Lee |
Oliver |
Cody |
Before |
3 u + 129 |
3 u |
4 u |
Change 1 |
- 53 |
+ 53 |
|
Change 2 |
- 25 |
|
+ 25 |
Change 3 |
|
- 2 |
+ 2 |
After |
3 u + 51 |
3 u + 51 |
4 u + 27 |
Amount that Oliver had in the end = 3 u + 51
Amount that Cody had in the end = 4 u + 27
Amount that Lee had at first
= 3 u + 51 + 53 + 25
= 3 u + 129
Amount that Oliver and Cody had in the end is the same.
3 u + 51 = 4 u + 27
4 u - 3 u = 51 - 27
1 u = 24
Amount that Lee and Oliver had in the end is the same.
Amount that Lee had in the end
= 3 u + 51
= 3 x 24 + 51
= 72 + 51
= $123
Amount that Lee had at first
= 123 + 53 + 25
= $201
Difference in the amounts between Lee and Oliver at first
= 201 - 72
= $129
Answer(s): $129