document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364913>Question 364913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dave and Cindy played 53 games of backgammon last month.  Dave's ratio of wins to losses was 37/16.<BR>\n" );
document.write( "If Dave and Cindy play 10 more games, write a proportion to determine how many of these 10 games dave could expect to win.\r<BR>\n" );
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document.write( "Determine how many more games Dave and Cindy must play before Cindy will have won a total of 28 games. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260309 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=260309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dave and Cindy played 53 games of backgammon last month.<BR>\n" );
document.write( " Dave's ratio of wins to losses was 37/16.<BR>\n" );
document.write( "If Dave and Cindy play 10 more games, write a proportion to determine how many<BR>\n" );
document.write( " of these 10 games dave could expect to win.<BR>\n" );
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document.write( "If the proportion remains the same for these 10 games:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F53 ALIGN=MIDDLE  ALT=\"37%2F53\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 10 ~ 7 games<BR>\n" );
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document.write( "Determine how many more games Dave and Cindy must play before Cindy will have<BR>\n" );
document.write( " won a total of 28 games.<BR>\n" );
document.write( "Let x = no. of additional games for this to happen<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F53 ALIGN=MIDDLE  ALT=\"16%2F53\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F%28%28x%2B53%29%29 ALIGN=MIDDLE  ALT=\"28%2F%28%28x%2B53%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "16(x+53) = 28 * 53<BR>\n" );
document.write( "16x + 848 = 1484<BR>\n" );
document.write( "16x = 1484 - 848<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=636%2F16 ALIGN=MIDDLE  ALT=\"636%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x ~ 40 more games<BR>\n" );
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document.write( "Check this:<BR>\n" );
document.write( "original per cent: 16/53 ~ .3<BR>\n" );
document.write( "40 more games percent: 28/93 ~ .3 <BR>\n" );
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