document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766868>Question 766868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help on this word problem: <BR>\n" );
document.write( "A t-shirt manufacturer spends $1200 each day on costs plus $3 per shirt for labor and materials. The t-shirts sell for $12 each. How many t-shirts must the company sell in one day to make a profit of $500? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467311 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A t-shirt manufacturer spends $1200 each day on costs plus $3 per shirt for labor and materials. The t-shirts sell for $12 each. How many t-shirts must the company sell in one day to make a profit of $500?\r<BR>\n" );
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document.write( "Let the number of t-shirts be x.\r<BR>\n" );
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document.write( "Fixed costs = 1200<BR>\n" );
document.write( "Variable cost (labour and materials) per t-shirt = 3<BR>\n" );
document.write( "So total variable cost for x shirts = 3*x\r<BR>\n" );
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document.write( "Total cost = 1200 + 3*x<BR>\n" );
document.write( "If the profit is 500, then the total selling price = 1200 + 3*x + 500 = 1700 + 3*x  -----(1)\r<BR>\n" );
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document.write( "Selling price of 1 shirt = $12\r<BR>\n" );
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document.write( "So selling price of x shirts = 12*x  ------(2)\r<BR>\n" );
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document.write( "Equating both (1) and (2)\r<BR>\n" );
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document.write( "1700 + 3*x = 12*x\r<BR>\n" );
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document.write( "1700 = 9*x\r<BR>\n" );
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document.write( "x = 1700/9 = 188.88 \r<BR>\n" );
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document.write( "So number of T-shirts to be sold to make a profit of $500 = 189 (rounding off<BR>\n" );
document.write( "to next whole number)\r<BR>\n" );
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document.write( "Hope you got it :)<BR>\n" );
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