document.write( "Question 645851: On a committee consisting of Republicans and Democrats, there are twice as many Republicans as Democrats. If 30% of Republicans and 20% of the Democrats voted in favor of a bill and there were 8 yes votes, how many people are on the committee?\r
\n" ); document.write( "\n" ); document.write( "the answer is 30 but i need to find the equation and I am having issues! \n" ); document.write( "

Algebra.Com's Answer #405640 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = number of Democrats
\n" ); document.write( "Let $\"+r+\"$ = number of Republicans
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+r+=+2d+\"$
\n" ); document.write( "(2) $\"+.3r+%2B+.2d+=+8+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(2) $\"+3r+%2B+2d+=+80+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3%2A2d+%2B+2d+=+80+\"$
\n" ); document.write( "(2) $\"+6d+%2B+2d+=+80+\"$
\n" ); document.write( "(2) $\"+8d+=+80+\"$
\n" ); document.write( "(2) $\"+d+=+10+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+r+=+2d+\"$
\n" ); document.write( "(1) $\"+r+=+2%2A10+\"$
\n" ); document.write( "(1) $\"+r+=+20+\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"+r+%2B+d+=+20+%2B+10+\"$
\n" ); document.write( " $\"+r+%2B+d+=+30+\"$
\n" ); document.write( "There are 30 people on the committee\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );