document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011774>Question 1011774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owner of men's clothing store bought six belts and eight hats for $140. A week later, at the same prices, he bought nine belts and six hats for $132. Find the price of a belt and the price of a hat.\r<BR>\n" );
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document.write( "WHAT I KNOW<BR>\n" );
document.write( "    The equation for the first time he bought his items wod be 6b+8h=140<BR>\n" );
document.write( "The b would stand for belts while the h would stand for hats<BR>\n" );
document.write( "The other equation would be 9b+6h=132. I know that i have to multiply a number so o e of the variables would be the same but i do not understand the rest. Thank you for looking through my question. Have a nice day </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627528 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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/cgi-bin/show-face.mpl?user=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Question:<BR>\n" );
document.write( "The owner of men's clothing store bought six belts and eight hats for $140. A week later, at the same prices, he bought nine belts and six hats for $132. Find the price of a belt and the price of a hat.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "Let <BR>\n" );
document.write( "B=cost of a belt<BR>\n" );
document.write( "H=cost of a hat<BR>\n" );
document.write( "Set up system of equations according to the total cost:\r<BR>\n" );
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document.write( "6B+8H=140...........(1)<BR>\n" );
document.write( "9B+6H=132...........(2)<BR>\n" );
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document.write( "Solve for B and H by elimination<BR>\n" );
document.write( "9B+12H=210..........1.5*(1)<BR>\n" );
document.write( "9B+6H=132...............(2)<BR>\n" );
document.write( "Subtract<BR>\n" );
document.write( "6H=(210-132)=78<BR>\n" );
document.write( "H=13<BR>\n" );
document.write( "back-substitute in (1) to find H<BR>\n" );
document.write( "6B+8*13=140.............(1)<BR>\n" );
document.write( "6B=140-104=36<BR>\n" );
document.write( "B=6<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "6(6)+8(13)=140, 9*6+6*13=132, ok.<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "Belts cost $6 each, hats cost $13 each. </SPAN>\n" );
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