document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731512>Question 731512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "10 balls and 1 ball bag purchased for $155.  12 balls and 2 ball bags purchased<BR>\n" );
document.write( "for $189.  How much does 1 ball cost and how much does 1 ball bag cost?<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 #447182 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=447182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10 balls and 1 ball bag purchased for $155. 12 balls and 2 ball bags purchased<BR>\n" );
document.write( "for $189. How much does 1 ball cost and how much does 1 ball bag cost?<BR>\n" );
document.write( "let a = no. of balls<BR>\n" );
document.write( "let b = no. of bags<BR>\n" );
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document.write( "\"10 balls and 1 ball bag purchased for $155.\"<BR>\n" );
document.write( "10a + b = 155<BR>\n" );
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document.write( "\"12 balls and 2 ball bags purchased for $189\"<BR>\n" );
document.write( "12a + 2b = 189<BR>\n" );
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document.write( " How much does 1 ball cost and how much does 1 ball bag cost?<BR>\n" );
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document.write( "Multiply the first equation by 2, subtract the 2nd equation<BR>\n" );
document.write( "20a + 2b = 310<BR>\n" );
document.write( "12a + 2b = 189<BR>\n" );
document.write( "------------------subtracting eliminates b, find a<BR>\n" );
document.write( "8a = 121<BR>\n" );
document.write( "a = 121/8<BR>\n" );
document.write( "a = $15.125 for 1 ball.<BR>\n" );
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document.write( "Find the cost of the bag using the 1st original equation<BR>\n" );
document.write( "10(15.125) + b = 155<BR>\n" );
document.write( "151.25 + b = 155<BR>\n" );
document.write( "b = 155 - 151.25<BR>\n" );
document.write( "b = $3.75 for 1 bag<BR>\n" );
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document.write( "We expect the solution to be an even cents, check this in the 2nd equation<BR>\n" );
document.write( "12(15.125) + 2(3.75) = <BR>\n" );
document.write( "181.50 + 7.50 = 189; checks out with these values\r<BR>\n" );
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