document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64504>Question 64504</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental DEvelopment</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of cassettes to compact discs was 10 to 3, and the number of cassettes was 10 less than 5 time the number of compact discs. How many cassettes were there?\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 #45144 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of compact discs<BR>\n" );
document.write( "Then 5 times the number of CD's=5x and 10 less than 5 times the number of CDs is 5x-10<BR>\n" );
document.write( "Therefore the number of cassettes is 5x-10\r<BR>\n" );
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document.write( "Now we are told that the ratio of cassettes to CDs which is((5x-10)/x)equals 10/3 so our equation to solve is:<BR>\n" );
document.write( "(5x-10)/x=10/3  multiply both sides by 3x to get rid of the fractions and we get:<BR>\n" );
document.write( "3(5x-10)=10x or<BR>\n" );
document.write( "15x-30=10x subtracting 10x from both sides and adding 30 to both sides we have:<BR>\n" );
document.write( "15x-10x=30<BR>\n" );
document.write( "5x=30<BR>\n" );
document.write( "x=6 the number of CDs\r<BR>\n" );
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document.write( "5x-10=(5)(6)-10=30-10=20 number of cassettes\r<BR>\n" );
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document.write( "ck<BR>\n" );
document.write( "((5)(6)-10)/6=10/3<BR>\n" );
document.write( "(30-10)/6=10/3<BR>\n" );
document.write( "20/6=10/3<BR>\n" );
document.write( "10/3=10/3 \r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays.---ptaylor </SPAN>\n" );
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