A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked,"If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, Instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution?

Question

anonymous · Answer

okay, first let's have $n$ be the number of people and $t$ be the total money.

So what equations can we make?

anonymous · Answer

I mean $n$ will be the number of people there were before the four extra came.

anonymous · Answer

So let's acknowledge that the average would have been $\frac t n $ had it stayed the same.

""If there are five fewer applicants next week, you will each receive two dollars more"$$
\frac{t}{n-5} = \frac t n +2
$$"actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less.""$$
\frac{t}{n+4} = \frac t n -1
$$

anonymous · Answer

oh okay

anonymous · Answer

WE can combine t hose two equations: $$
\frac{t}{n-5} - 2 = \frac t {n+4} +1
$$

anonymous · Answer

We can do lots of things.

You should use your algebra skill to win.

anonymous · Answer

okay ^^

anonymous · Answer

is there another way to do this without using algebra?

goformit100 · Answer

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