document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622369>Question 622369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble setting up the equation to solve this problem. A bag contains 42 coins, with a total weight of 246 grams. if the bag contains only gold coins that weigh 8 grams each and silver coins that weigh 5 grams each, how many gold and how many silver coins are in the bag?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391336 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let g = the number of gold coins weighing 8 g<BR>\n" );
document.write( "Then 42 - g = the number of silver coins weighing 5 g<BR>\n" );
document.write( "We can write the following expression for the total weight:<BR>\n" );
document.write( "246 = 8g + 5(42-g)<BR>\n" );
document.write( "Simplify and solve for g:<BR>\n" );
document.write( "246 = 8g + 210 - 5g<BR>\n" );
document.write( "3g = 36<BR>\n" );
document.write( "g = 12<BR>\n" );
document.write( "So there are 12 gold coins and 30 silver coins<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "12*8 + 30*5 = 96 + 150 = 246 </SPAN>\n" );
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