Lee, Ian and Glen shared a sum of money. The amount received by Ian was
23 the amount of money received by Glen. After Lee had given $41 to Ian and $26 to Glen, Ian gave $5 to Glen. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Lee and Ian had at first.
|
Lee |
Ian |
Glen |
Before |
2 u + 103 |
2 u |
3 u |
Change 1 |
- 41 |
+ 41 |
|
Change 2 |
- 26 |
|
+ 26 |
Change 3 |
|
- 5 |
+ 5 |
After |
2 u + 36 |
2 u + 36 |
3 u + 31 |
Amount that Ian had in the end = 2 u + 36
Amount that Glen had in the end = 3 u + 31
Amount that Lee had at first
= 2 u + 36 + 41 + 26
= 2 u + 103
Amount that Ian and Glen had in the end is the same.
2 u + 36 = 3 u + 31
3 u - 2 u = 36 - 31
1 u = 5
Amount that Lee and Ian had in the end is the same.
Amount that Lee had in the end
= 2 u + 36
= 2 x 5 + 36
= 10 + 36
= $46
Amount that Lee had at first
= 46 + 41 + 26
= $113
Difference in the amounts between Lee and Ian at first
= 113 - 10
= $103
Answer(s): $103