document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524212>Question 524212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An alloy of silver and gold weighs 15 ounces in air and 14 ounces in<BR>\n" );
document.write( "water. Assuming that the silver loses 1/10 of its weight in water and that<BR>\n" );
document.write( "gold loses 1/19 of its weight, how many ounces of each metal are in the<BR>\n" );
document.write( "alloy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347718 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=347718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An alloy of silver and gold weighs 15 ounces in air and 14 ounces in<BR>\n" );
document.write( "water. Assuming that the silver loses 1/10 of its weight in water and that<BR>\n" );
document.write( "gold loses 1/19 of its weight, how many ounces of each metal are in the<BR>\n" );
document.write( "alloy?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = amt of silver<BR>\n" );
document.write( "Let g = amt of gold<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"An alloy of silver and gold weighs 15 ounces in air\"<BR>\n" );
document.write( "s + g = 15<BR>\n" );
document.write( "s = (15-g)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "And 14 ounces in water.<BR>\n" );
document.write( ": Assuming that the silver loses 1/10 of its weight in water and that<BR>\n" );
document.write( "gold loses 1/19 of its weight,<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F10 ALIGN=MIDDLE  ALT=\"9%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F19 ALIGN=MIDDLE  ALT=\"18%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >g = 14<BR>\n" );
document.write( "Multiply by 190, to get rid of the denominators<BR>\n" );
document.write( "19(9s) + 10(18g) = 190(14)<BR>\n" );
document.write( "171s + 180g = 2660<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace s with (15-g), find g:<BR>\n" );
document.write( "171(15-g) + 180g = 2660<BR>\n" );
document.write( "2565 - 171g + 180g = 2660<BR>\n" );
document.write( "-171g + 180g = 2660 - 2565<BR>\n" );
document.write( "9g = 95<BR>\n" );
document.write( "g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95%2F9 ALIGN=MIDDLE  ALT=\"95%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g = 10.556 oz of gold<BR>\n" );
document.write( "then<BR>\n" );
document.write( "15 - 10.556 = 4.444 oz of silver\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );