document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=488399>Question 488399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you turn \"The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?\" into an equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333426 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=333426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you turn \"The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?\" into an equation?<BR>\n" );
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document.write( "The amt three people receive: a, b, c<BR>\n" );
document.write( "write an equation for each statement.<BR>\n" );
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document.write( "\"The sum of $224 was divided among 3 people\"<BR>\n" );
document.write( "a + b = c = 224<BR>\n" );
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document.write( "\"the second person received $1 less than twice as much as the first,\"<BR>\n" );
document.write( "b = 2a - 1<BR>\n" );
document.write( "solve this equation for a<BR>\n" );
document.write( "2a = b + 1<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "\" the third received $11 more than the second.\"<BR>\n" );
document.write( "c = b + 11<BR>\n" );
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document.write( "Replace a and c in the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + b + (b+11) = 224<BR>\n" );
document.write( "get rid of the fraction multiply eq by 2<BR>\n" );
document.write( "b + 1 + 2b +2(b+11) = 2(224)<BR>\n" );
document.write( "b + 1 + 2b + 2b + 22 = 448<BR>\n" );
document.write( "5b + 23 = 448<BR>\n" );
document.write( "5b = 448 - 23<BR>\n" );
document.write( "3b = 425<BR>\n" );
document.write( "b = 425/5<BR>\n" );
document.write( "b = $85 is b's share<BR>\n" );
document.write( "the<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2885%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"%2885%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = $43 is a's share<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = 85 + 11<BR>\n" );
document.write( "c = $96 is c's share<BR>\n" );
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document.write( "Check this; find the total<BR>\n" );
document.write( "43 + 85 + 96 = 224\r<BR>\n" );
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document.write( " </SPAN>\n" );
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