document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163538>Question 163538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While Mrs. Teacher was in China she decided to buy gifts for her wonderful students.  Bracelets cost 12 Chinese dollars and necklaces cost 10 chinese dollars.  Mrs. Teacher bought a total of 55 bracelets and necklaces and spent a total of 620 Chinese dollars.  How many bracelts and necklaces did the teacher buy.  Show all work and explain your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120533 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> While Mrs. Teacher was in China she decided to buy gifts for her wonderful students. Bracelets cost 12 Chinese dollars and necklaces cost 10 Chinese dollars. Mrs. Teacher bought a total of 55 bracelets and necklaces and spent a total of 620 Chinese dollars. How many bracelets and necklaces did the teacher buy. Show all work and explain your answer.<BR>\n" );
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document.write( "Let b = no. of bracelets<BR>\n" );
document.write( "Let n = no. of necklaces<BR>\n" );
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document.write( "total items equation<BR>\n" );
document.write( "b + n = 55<BR>\n" );
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document.write( "Total cost equation<BR>\n" );
document.write( "12b + 10n = 620<BR>\n" );
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document.write( "Arrange the 1st equation so we can use it for substitution:<BR>\n" );
document.write( "b + n = 55<BR>\n" );
document.write( "n = 55-b; subtracted b from both sides<BR>\n" );
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document.write( "Substitute (55-b) for n in the cost equation, find b<BR>\n" );
document.write( "12b + 10(55-b) = 620<BR>\n" );
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document.write( "12b = 550 - 10b = 620; multiplied what's inside the brackets<BR>\n" );
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document.write( "12b - 10b = 620 - 550; subtracted 550 from both sides<BR>\n" );
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document.write( "2b = 70<BR>\n" );
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document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F2 ALIGN=MIDDLE  ALT=\"70%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divided both sides by 2<BR>\n" );
document.write( "b = 35 bracelets<BR>\n" );
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document.write( "Find n<BR>\n" );
document.write( "n = 55 -b<BR>\n" );
document.write( "n = 55 - 35<BR>\n" );
document.write( "n = 20 necklaces<BR>\n" );
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document.write( "Check our solution in the cost equation<BR>\n" );
document.write( "12b + 10n = 620<BR>\n" );
document.write( "12(35) + 10(20) = 620<BR>\n" );
document.write( "420 + 200 = 620; confirms our solutions </SPAN>\n" );
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