Question 1137213
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<pre>
Let n be the number of members and " r " be how much every member contributes in the base version.


Then from the condition you have these 2 equations

nr = (n+3)*(r-10),    (1)
nr = (n-2)*(r+10).    (2)


Simplify (1) and (2) step by step:


nr = nr + 3r - 10n - 30,   (3)   ( instead of (1) )
nr = nr - 2r + 10n - 20.   (4)   ( instead of (2) )


0 =  3r - 10n - 30,        (5)   ( instead of (3) )
0 = -2r + 10n - 20,        (6)   ( instead of (4) )


Add equations (5) and (6). You will get


0 = r -30 - 20,   or

r = 50.


Then from (6)  10n = 2r + 20 = 2*50 + 20 = 120.  Hence,  n= 120/10 = 12.


<U>Answer</U>.  The number of members is 12.  Each contributes 50 dollars.


<U>CHECK</U>.   You may check the answer on your own by substituting the found values into equations (1) and (2).

         Do it - it is VERY educational in this sort of problems.
</pre>

Solved.


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