document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234020>Question 234020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think this will be a linear equation, but I'm not sure. I don't even know where to begin. Can you please help? The problem is:\r<BR>\n" );
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document.write( "John says to Brenda, \"If you give me $7, we will have an equal amount of money.\" Brenda responds, \"That may be true, but if you give me $7, I will be $1 short of having twice as much money as you.\" How much money did John and Brenda have?\r<BR>\n" );
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document.write( "Hint: When one person loses $7, the other person gains $7.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172834 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=172834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John says to Brenda, \"If you give me $7, we will have an equal amount of money.\" Brenda responds, \"That may be true, but if you give me $7, I will be $1 short of having twice as much money as you.\" How much money did John and Brenda have?<BR>\n" );
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document.write( "Let j = amt that John has<BR>\n" );
document.write( "Let b = amt that Brenda has<BR>\n" );
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document.write( "Step-by-step<BR>\n" );
document.write( "J says to B,\"If you give me $7, we will have an equal amount of money.\"<BR>\n" );
document.write( "j + 7 = b - 7<BR>\n" );
document.write( "j = b - 7 - 7<BR>\n" );
document.write( "j = (b - 14)<BR>\n" );
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document.write( "B says, \"if you give me $7, I will be $1 short of having twice as much money as you.\" <BR>\n" );
document.write( "b + 7 = 2(j-7) - 1<BR>\n" );
document.write( "b + 7 = 2j - 14 - 1<BR>\n" );
document.write( "b + 7 = 2j - 15<BR>\n" );
document.write( "b = 2j - 15 - 7<BR>\n" );
document.write( "b = 2j - 22<BR>\n" );
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document.write( "How much money did John and Brenda have?<BR>\n" );
document.write( "From the 1st statement replace j with(b-14) in the above equation<BR>\n" );
document.write( "b = 2(b-14) - 22<BR>\n" );
document.write( "b = 2b - 28 - 22<BR>\n" );
document.write( "b = 2b - 50<BR>\n" );
document.write( "+50 = 2b - b<BR>\n" );
document.write( "b = $50 is Brenda's amt<BR>\n" );
document.write( "Find j<BR>\n" );
document.write( "j = b - 14<BR>\n" );
document.write( "j = 50 - 14<BR>\n" );
document.write( "j = $36 is John's amt<BR>\n" );
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document.write( "Check this in both statements<BR>\n" );
document.write( " J says to B,\"If you give me $7, we will have an equal amount of money.\"<BR>\n" );
document.write( "36 + 7 = 50 - 7<BR>\n" );
document.write( "43 = 43<BR>\n" );
document.write( "and<BR>\n" );
document.write( "B says, \"if you give me $7, I will be $1 short of having twice as much money\"<BR>\n" );
document.write( "50 + 7 = 2(36-7) - 1<BR>\n" );
document.write( "57 = 2(29) - 1<BR>\n" );
document.write( "57 = 58 - 1   </SPAN>\n" );
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