Distribution of Charitable Donation

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A dollar amount of 5x was distributed evenly among three charitable organizations, A, B, and C. However, after it was determined that Organization C was ineligible for its share, its share was given to Organization B. Organization B chose to give Organization A the portion of Organization C's share that Organization A would have received if Organization C's share had been evenly split among four organizations including Organization A. What was the dollar amount, in terms of x, that Organization A ultimately obtained?

Review: Distribution of Charitable Donation


Explanation

This question rambles a bit, so right off the bat we can pick a case to understand what is being said. Let's say that and we are talking about $60 here. While 100 is nice for calculating percentages, here we are doing dividing and 60 is highly divisible. The plan is that A, B, and C each get $20, but C gives its $20 to B. B then chooses to give a fourth of the $20 to A, so B gives A $5. Therefore, A gets a total of $25. We may have sufficient information now to determine the answer; we can see which one or ones yield 25 when we set . Choice (A) gives 15, (B) gives 17, (C) gives 20, (D) gives 23, and (E) gives 25. Choices (A) through (D) are therefore out.

The correct answer is (E).


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