document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206829>Question 1206829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Janet spent 2/7 of her money on 4 dolls and 8 books. She spent the remaining money on 6 dolls 10 toys and 12 books. How many toys could she buy with 6/7 of her money.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844500 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i get 30 toys.\r<BR>\n" );
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document.write( "here's my thinking.\r<BR>\n" );
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document.write( "you start with:\r<BR>\n" );
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document.write( "2/7 * x = 4 dolls and 8 books.<BR>\n" );
document.write( "5/7 * x = 6 dolls and 12 books and 10 toys.\r<BR>\n" );
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document.write( "6 dolls is 1.5 * 4 dolls.<BR>\n" );
document.write( "12 books is 1.5 * 8 books.\r<BR>\n" );
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document.write( "since 4 dolls and 8 books = 2/7 * x, then 1.5 * (4 dolls and 8 books) = 1.5 * 2/7 * x.\r<BR>\n" );
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document.write( "1.5 * 2/7 * x = 3/7 * x\r<BR>\n" );
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document.write( "since 3/7 * x = 6 dolls and 12 books, then 2/7 * x must be equal to 10 toys.\r<BR>\n" );
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document.write( "6/7 * x = 3 * 2/7 * x, therefore you must be able to buy 30 toys with 6/7 * x.\r<BR>\n" );
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document.write( "algebraically it would look like this.\r<BR>\n" );
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document.write( "let d = number of dolls and b = number of books and let t = number of toys.\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "4d + 8b = 2/7 * x<BR>\n" );
document.write( "6d + 12b + 10t = 5/7 * x\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 1.5 and leave the second equation as is to get:\r<BR>\n" );
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document.write( "6d + 12b = 3/7 * x<BR>\n" );
document.write( "6d + 12b + 10t = 5/7 * x\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:\r<BR>\n" );
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document.write( "10t = 2/7 * x.\r<BR>\n" );
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document.write( "6/7 * x = 3 * 2/7 * x, therefore multiply both sides of that equation by 3 to get:\r<BR>\n" );
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document.write( "30t = 6/7 * x.\r<BR>\n" );
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document.write( "that's your answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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