Cody, Simon and Flynn shared a sum of money. The amount received by Simon was
56 the amount of money received by Flynn. After Cody had given $48 to Simon and $23 to Flynn, Simon gave $7 to Flynn. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Cody and Simon had at first.
|
Cody |
Simon |
Flynn |
Before |
5 u + 112 |
5 u |
6 u |
Change 1 |
- 48 |
+ 48 |
|
Change 2 |
- 23 |
|
+ 23 |
Change 3 |
|
- 7 |
+ 7 |
After |
5 u + 41 |
5 u + 41 |
6 u + 30 |
Amount that Simon had in the end = 5 u + 41
Amount that Flynn had in the end = 6 u + 30
Amount that Cody had at first
= 5 u + 41 + 48 + 23
= 5 u + 112
Amount that Simon and Flynn had in the end is the same.
5 u + 41 = 6 u + 30
6 u - 5 u = 41 - 30
1 u = 11
Amount that Cody and Simon had in the end is the same.
Amount that Cody had in the end
= 5 u + 41
= 5 x 11 + 41
= 55 + 41
= $96
Amount that Cody had at first
= 96 + 48 + 23
= $167
Difference in the amounts between Cody and Simon at first
= 167 - 55
= $112
Answer(s): $112