document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012691>Question 1012691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "box x box y box z contain marbles in the ratio of 5:7:3.If there are 56 more marbles in box y than box z, how many marbles in all 3 boxes\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628686 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=628686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are given that:\r<BR>\n" );
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document.write( "x:y:z = 5:7:3\r<BR>\n" );
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document.write( "y = z+56\r<BR>\n" );
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document.write( "y:z = 7:3 is the same as y/z = 7/3.\r<BR>\n" );
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document.write( "since y has 56 more marbles than z, then you get y = z+56.\r<BR>\n" );
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document.write( "replace y with z+56 in the formula of y/z = 7/3 to get (z+56)/z = 7/3\r<BR>\n" );
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document.write( "multiply both sides of the equation by z to get z+56 = 7z/3\r<BR>\n" );
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document.write( "multiply both sides of the equation by 3 to get 3*(z+56) = 7z\r<BR>\n" );
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document.write( "distribute the multiplication to get 3z + 168 = 7z\r<BR>\n" );
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document.write( "subtract 3z from both sides of the equation to get 168 = 4z\r<BR>\n" );
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document.write( "divide both sides of the equation by 4 to get z = 42\r<BR>\n" );
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document.write( "since y is 56 more than z, then y = 98\r<BR>\n" );
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document.write( "since the ratio of x:y = 5:7 is the same as x/y = 5/7, you get:\r<BR>\n" );
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document.write( "x/y = 5/7\r<BR>\n" );
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document.write( "since y = 98, the equation becomes x/98 = 5/7\r<BR>\n" );
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document.write( "multiply both sides of the equation by 98 to get x = 5 * 98/7\r<BR>\n" );
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document.write( "solve for x to get x = 70.\r<BR>\n" );
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document.write( "your solution is that x = 70, y = 98, and z = 42.\r<BR>\n" );
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document.write( "y is 56 more than z because 42 + 56 = 98.\r<BR>\n" );
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document.write( "ratio of x to y is 5/7 because 70/98 = 5/7.\r<BR>\n" );
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document.write( "ratio of y to z is 7/3 because 98/42 =  7/3.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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