SOLUTION: Hi A sum of money is split between Bob Ted and Alice in the ratio 6:2:5 respectively.If Bob gives Alice $20.00,Alice would have 225% more money than Ted. What is the sum shared

Question 1201315: Hi
A sum of money is split between Bob Ted and Alice in the ratio 6:2:5 respectively.If Bob gives Alice $20.00,Alice would have 225% more money than Ted.
What is the sum shared. Thanks
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

PERSON AMOUNT INITIAL AMOUNT AFTER Bob 6x 6x-20 Ted 2x 2x Alice 5x 5x+20

After the transfer, "Alice would have 225% more money than Ted."

To follow that exactly as written, , and then

,
but this is nonsense. x MUST be a positive whole number.

Recheck the work shown for any mistakes.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

The problem as posted, with the numbers shown, does not have a reasonable answer. Although it is unfortunately quite likely that you have shown the problem as it was given to you, check your post to see if you have shown the correct information.

If you did not post the problem correctly, then re-post with the right numbers.

Otherwise, the problem has the following unreasonable solution.

Use the given ratio to set up the problem with Bob, Ted, and Alice having amounts 6x, 2x, and 5x initially. Then after Bob gives Alice $20, the amount Bob would have will be 6x-20, and the amount Alice will have is 5x+20. We are told that then Alice would have 225% more money than Ted:

5x+20 = 2x + 2.25(2x)
5x+20 = 2x+4.5x
5x+20 = 6.5x
20 = 1.5x
x = 20/1.5 = 40/3

Then the total amount shared among the three of them would be

6x+2x+5x = 13x = 13(40/3) = 520/3

An amount of "520/3 dollars" is not reasonable....

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Hi
A sum of money is split between Bob Ted and Alice in the ratio 6:2:5 respectively.
If Bob gives Alice $20.00,Alice would have 225% more money than Ted.
What is the sum shared. Thanks
~~~~~~~~~~~~~~~~~~~~

The common view/opinion is that this problem, as it is presented in this post, is .

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