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Question 1195907: Meg is given 30 dollars by Nelson.
After this exchange, Nelson still has 10 dollars more than Meg.
If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website!
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If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?
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Meg originally had m dollars and Nelson had 4m dollars.
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Meg is given 30 dollars by Nelson.
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The exchange meant that m+30 for Meg and 4m-30 for Nelson.
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After this exchange, Nelson still has 10 dollars more than Meg.
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Answer by ikleyn(52790)  (Show Source):
You can put this solution on YOUR website! .
Meg is given 30 dollars by Nelson.
After this exchange, Nelson still has 10 dollars more than Meg.
If Nelson originally had 4 times as much money as Meg, how much do they both possess before any exchanges were carried out?
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At the beginning, Meg had x dollars; Nelson had 4x dollars.
After giving,
4x - 30 = (x+30) + 10.
Simplify and find x
4x - 30 = x + 40
4x - x = 40 + 30
3x = 70
x = 70/3.
ANSWER and DIAGNOSIS. The solution is not integer number of cents,
meaning that the input info is  in this problem/post.
Avoid posting defective problems to this forum.
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