SOLUTION: The ratio of Geoff’s allowance to Ken’s allowance is 7:11. If Ken gives Geoff $84, they will have the same amount of money. How much do they have altogether?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of Geoff’s allowance to Ken’s allowance is 7:11. If Ken gives Geoff $84, they will have the same amount of money. How much do they have altogether?      Log On


   

Question 1182523: The ratio of Geoff’s allowance to Ken’s allowance is 7:11. If Ken gives Geoff $84, they will have the same amount of money. How much do they have altogether?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Geoff's allowance is 7x, and Ken's is 11x.

If Ken gives 84 dollars to Geoff then Geoff has 7x+84 and Ken has 11x-84. If these are then described as same amount of money, then 7x+84=11x-84 and you can do what remains.

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

To see many other similar  (and different)  solved problems of this kind,  look into the lesson
    - Virtual exchange between two persons
in this site.