Neave, Ryan and Harry shared a sum of money. The amount received by Ryan was
23 the amount of money received by Harry. After Neave had given $51 to Ryan and $28 to Harry, Ryan gave $4 to Harry. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Neave and Ryan had at first.
|
Neave |
Ryan |
Harry |
Before |
2 u + 126 |
2 u |
3 u |
Change 1 |
- 51 |
+ 51 |
|
Change 2 |
- 28 |
|
+ 28 |
Change 3 |
|
- 4 |
+ 4 |
After |
2 u + 47 |
2 u + 47 |
3 u + 32 |
Amount that Ryan had in the end = 2 u + 47
Amount that Harry had in the end = 3 u + 32
Amount that Neave had at first
= 2 u + 47 + 51 + 28
= 2 u + 126
Amount that Ryan and Harry had in the end is the same.
2 u + 47 = 3 u + 32
3 u - 2 u = 47 - 32
1 u = 15
Amount that Neave and Ryan had in the end is the same.
Amount that Neave had in the end
= 2 u + 47
= 2 x 15 + 47
= 30 + 47
= $77
Amount that Neave had at first
= 77 + 51 + 28
= $156
Difference in the amounts between Neave and Ryan at first
= 156 - 30
= $126
Answer(s): $126