SOLUTION: Bill has twice as much money as Jim. If I give Jim $2.50, he will have three times as much money as Bill. How much money did Bill and Jim have originally?

Question 803738: Bill has twice as much money as Jim. If I give Jim $2.50, he will have three times as much money as Bill. How much money did Bill and Jim have originally?
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
For solving this problem, Bill will be and Jim will be .
To start off, we know that Bill has double the amount that Jim has.
You can think of this as 2 Jims equal 1 Bill.
You would write this as .
Now if Jim were to be given $2.50 he would have 3 times as much as Bill.
This equation can be written as .
Jim plus the $2.50 is equal to 3 times Bill.
We are going to solve for Jim first.
We want to solve for since Jim is .
That means u will plug into .
Since , you can replace the in with .
Solve for .
Multiply 3*2x
Subtract from both sides
Divide both sides by 5

We know now Jim originally had $.50.
Now let's figure out what Bill originally had.
We need to solve for .
can also be written .
Now plug into .
You can replace the in with .
Now solve.
Multiply it out.

Subract 6y from both sides.
Divide each side by -5.

We have now figured out that Bill started with $1.00.
The answer for this problem is Jim originally had $.50 and Bill originally has $1.00.

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