Fred and Cole had a total of $122. Fred gave $13 to Cole. In return, Cole gave $40 to Fred. In the end, Fred had $24 more than Cole. How much money did Fred have at first?
|
Fred |
Cole |
Total |
Before |
? |
|
$122 |
Change 1 |
- $13 |
+ $13 |
|
Change 2 |
+ $40 |
- $40 |
|
After |
1 u + $24 |
1 u |
$122 |
Total amount that Fred and Cole had
= 1 u + 1 u + $24
= 2 u + 24
2 u + 24 = 122
2 u = 122 - 24
2 u = 98
1 u = 98 ÷ 2 = 49
Amount that Fred had in the end
= 1 u + 24
= 49 + 24
= $73
Amount that Fred had at first
= 73 - 40 + 13
= $46
Answer(s): $46