SOLUTION: john has $5 more than bill and $3 less than amy. together they have $25. how much money does each person have?

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Question 532467: john has $5 more than bill and $3 less than amy. together they have $25. how much money does each person have?
Answer by jkrsmsc76(5) About Me  (Show Source):
You can put this solution on YOUR website!
I will J, B and A instead of actual names, for the amount of money each of them have.
We know that J=B%2B5, so we can also say that B=J-5
We know that J=A-3, so we can also say that A=J%2B3
Since the total of all their money is $25, J%2BB%2BA=25
We can substitute B and A, with the formulas we created earlier B=J-5 and A=J%2B3 to get J%2B%28J-5%29%2B%28J%2B3%29=25
This can be simplifies to get 3J-2=25
Add 2 to both sides to get 3J=27
Divide both sides by 3 to get J=9
If John has $9 and we know he has $5 more than Bill, Bill has $4. Similarly, we know that John has $3 less than Amy, so Amy has $12.