document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213151>Question 213151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large bucket holds 3 liters more than twice as much as a small bucket. It took 2 small bucket and 5 large buckets to fill a 63 liter tank. How much does a large bucket hold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161164 by </B><A HREF=/tutors/aboutme.mpl?userid=gypsy1274><B>gypsy1274(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gypsy1274><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = small bucket and y = large bucket.<BR>\n" );
document.write( "- 2 small buckets and 5 large buckets fill a 63 liter tank<BR>\n" );
document.write( "2x + 5y = 63\r<BR>\n" );
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document.write( "- A large bucket holds 3 liters more than twice as much as a small bucket.<BR>\n" );
document.write( "y = 2x + 3\r<BR>\n" );
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document.write( "y is already solved in terms of x.  If it wasn't, that would be your first step.\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution in the second equation that is already solved for y.<BR>\n" );
document.write( "2x + 5(2x+3) = 63\r<BR>\n" );
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document.write( "Order of Operations determines the next action.  Remove the parenthesis around the 2x+3 by distributing the 5.<BR>\n" );
document.write( "2x + 10x + 15 = 63\r<BR>\n" );
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document.write( "Combine like terms: add 2x + 10x.<BR>\n" );
document.write( "12x + 15 = 63\r<BR>\n" );
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document.write( "The goal is to get x by itself so subtract 15 from both sides.<BR>\n" );
document.write( "12x = 48\r<BR>\n" );
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document.write( "Now divide both sides by 12.<BR>\n" );
document.write( "x = 4\r<BR>\n" );
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document.write( "Now, since x = the small bucket = 4, we can figure out the size of the large bucket by returning to the second equation.<BR>\n" );
document.write( "y = 2x + 3\r<BR>\n" );
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document.write( "Plug 4 in for x and solve for y.<BR>\n" );
document.write( "y = 2(4) + 3<BR>\n" );
document.write( "y = 8 + 3<BR>\n" );
document.write( "y = 11\r<BR>\n" );
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document.write( "Always check your work.\r<BR>\n" );
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document.write( "It took 2 small buckets (4 liters) and 5 large buckets (11 liters) to fill a 63 liter tank.\r<BR>\n" );
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document.write( "2(4) + 5(11) = 63<BR>\n" );
document.write( "8 + 55 = 63<BR>\n" );
document.write( "63 = 63<BR>\n" );
document.write( "The answers are correct.\r<BR>\n" );
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document.write( "Go back to the original problem to make sure you are answering the correct question.  \r<BR>\n" );
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document.write( "How much does a large bucket hold?<BR>\n" );
document.write( "The large bucket holds 11 liters. </SPAN>\n" );
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