document.write( "Question 1010028: vivienne, john, and nassim ran for 6th grade class president. overall, 84 6th grade scholars voted in the class president election \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "vivienne got 2 votes for every vote john got.
\n" ); document.write( "nassim got 2 votes for every vote vivienne got.
\n" ); document.write( "how many votes did vivienne got?\r
\n" ); document.write( "\n" ); document.write( "I really didn't understand how to answer the question but heres what I got. \r
\n" ); document.write( "\n" ); document.write( "John x 1 got 5 votes
\n" ); document.write( "Vivienne x 2 got 10 votes
\n" ); document.write( "Nassim x 4 got 40 votes \r
\n" ); document.write( "\n" ); document.write( "Answer 55 votes in total \n" ); document.write( "

Algebra.Com's Answer #625510 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
This problem makes an assumption. There were
\n" ); document.write( "3 people running for office and 84 people voted.
\n" ); document.write( "Did all the voters vote for one of the three?
\n" ); document.write( "Did any abstain from voting?
\n" ); document.write( "So, they all must have voted for one of the three
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) $\"+v+%2B+j+%2B+n+=+84+\"$
\n" ); document.write( "(2) $\"+v+=+2j+\"$
\n" ); document.write( "(3) $\"+n+=+2v+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "There are 3 equations and 3 unknowns,
\n" ); document.write( "so it's solvable
\n" ); document.write( "--------------
\n" ); document.write( "(2) $\"+j+=+v%2F2+\"$
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+v+%2B+j+%2B+n+=+84+\"$
\n" ); document.write( "(1) $\"+v+%2B+v%2F2+%2B+2v+=+84+\"$
\n" ); document.write( "(1) $\"+2v+%2B+v+%2B+4v+=+168\"$
\n" ); document.write( "(1) $\"+7v+=+168+\"$
\n" ); document.write( "(1) $\"+v+=+24+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+j+=+v%2F2+\"$
\n" ); document.write( "(2) $\"+j+=+24%2F2+\"$
\n" ); document.write( "(2) $\"+j+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+n+=+2v+\"$
\n" ); document.write( "(3) $\"+n+=+2%2A24+\"$
\n" ); document.write( "(3) $\"+n+=+48+\"$
\n" ); document.write( "------------------
\n" ); document.write( "John got 12 votes
\n" ); document.write( "Vivienne got 24 votes
\n" ); document.write( "Nassim got 48 votes
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+v+%2B+j+%2B+n+=+84+\"$
\n" ); document.write( "(1) $\"+24+%2B12+%2B+48+=+84+\"$
\n" ); document.write( "(1) $\"+84+=+84+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );