document.write( "Question 77772: A high school computer club needs to raise $1,200.00 divided equally amongst the members. When 8 new members join, the individual amount is reduced by $7.50. How many members are in the club?
\n" ); document.write( "Here is what I have done so far:
\n" ); document.write( "X is the original number of members and X + 8 is the new number of members.
\n" ); document.write( "The total amount to raise never changes. 1,200/X is the original amount each member would need to contribute and 1,200/X + 8 is the new amount.
\n" ); document.write( "I am not sure how to set this up and solve to find the number of members. Your help would be much appreciated. Thanks
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Algebra.Com's Answer #55769 by checkley75(3666)\"\" \"About 
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1200/X-1200/(X+8)=7.50
\n" ); document.write( "[1200(X+8)-1200X]/X(X+8)=7.50
\n" ); document.write( "(1200X+9600-1200X)/X^2+8X=7.50
\n" ); document.write( "7.5(X^2+8X)=9600
\n" ); document.write( "7.5X^2+60X-9600=0
\n" ); document.write( "(X-32)(7.5X+300)=0
\n" ); document.write( "X-32=0
\n" ); document.write( "X=32 ORIGINAL MEMBERS.
\n" ); document.write( "PROOF
\n" ); document.write( "1200/32-1200/40=7.5
\n" ); document.write( "37.5-30=7.5
\n" ); document.write( "7.5=7.5
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