document.write( "Question 1131942: the student council is hosting an art exhibit for young artists. each artist must pay $33 for a display booth. Plus they must donate 5% of their total sales to the school. it costs the artists $6 in materials to make a painting that each sell for $15. write and solve an equation to find how many paintings the artists must sell in order to break even \n" ); document.write( "

Algebra.Com's Answer #748694 by josmiceli(19441) $\"\"$ $\"About$

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At break even, Cost = Income
\n" ); document.write( "Let $\"+n+\"$ = number of paintings sold
\n" ); document.write( "---------------------------------------------
\n" ); document.write( " $\"+C+=+33+%2B+.05%2A15%2An+%2B+6n+\"$
\n" ); document.write( " $\"+I+=+15n+\"$
\n" ); document.write( " $\"+33+%2B+.75n+%2B+6n+=+15n+\"$
\n" ); document.write( " $\"+33+%2B+6.75n+=+15n+\"$
\n" ); document.write( " $\"+8.25n+=+33+\"$
\n" ); document.write( " $\"+n+=+4+\"$
\n" ); document.write( "An artist must sell 4 paintings to break even.
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+15n+=+15%2A4+\"$
\n" ); document.write( " $\"+15n+=+60+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+33+%2B+.05%2A15%2An+%2B+6n+\"$
\n" ); document.write( " $\"+33+%2B+.75n+%2B+6n+\"$
\n" ); document.write( " $\"+33+%2B+6.75%2A4+\"$
\n" ); document.write( " $\"+33+%2B+27+=+60+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );