document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145551>Question 145551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If John gives Haiz $7, they will have the same amount of money. If Haiz gives John $7, the ratio of the amount of money he has to the ratio of the money John has will be 1:2. How much money has each of them at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106214 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=106214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If John gives Haiz $7, they will have the same amount of money. If Haiz gives John $7, the ratio of the amount of money he has to the ratio of the money John has will be 1:2. How much money has each of them at first?<BR>\n" );
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document.write( "Let the original amts be; J and H<BR>\n" );
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document.write( "Write an equation for the two statements,<BR>\n" );
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document.write( "\"If John gives Haiz $7, they will have the same amount of money.\"<BR>\n" );
document.write( "J - 7 = H + 7<BR>\n" );
document.write( "J = H + 7 + 7<BR>\n" );
document.write( "J = H + 14<BR>\n" );
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document.write( "\" If Haiz gives John $7, the ratio of the amount of money he has to the ratio of the money John has will be 1:2.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28H-7%29%29%2F%28%28J%2B7%29%29 ALIGN=MIDDLE  ALT=\"%28%28H-7%29%29%2F%28%28J%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "J+7 = 2(H-7)<BR>\n" );
document.write( "J+7 = 2H - 14 <BR>\n" );
document.write( "J = 2H - 14 - 7<BR>\n" );
document.write( "J = 2H - 21<BR>\n" );
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document.write( "Substitute (H+14) for J<BR>\n" );
document.write( "H + 14 = 2H - 21<BR>\n" );
document.write( "14 + 21 = 2H - H<BR>\n" );
document.write( "H = $35 <BR>\n" );
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document.write( "From the 1st equation<BR>\n" );
document.write( "J = 35 + 14<BR>\n" );
document.write( "J = $49<BR>\n" );
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document.write( "Check solution in both statements:<BR>\n" );
document.write( "\"If John gives Haiz $7, they will have the same amount of money.\"<BR>\n" );
document.write( "49 - 7 = 35 + 7<BR>\n" );
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document.write( " If Haiz gives John $7, the ratio of the amount of money he has to the ratio of the money John has will be 1:2.<BR>\n" );
document.write( "35 - 7 = 28<BR>\n" );
document.write( "49 + 7 = 56<BR>\n" );
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document.write( " </SPAN>\n" );
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