document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125283>Question 125283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please solve this problem?<BR>\n" );
document.write( "Anna, Jennifer, and Mia have certain sums of money. If Anna gives Jennifer $100, they will have the same amount; if Anna gives Mia $100, Mia will have twice as much as Anna; if Jennifer gives Mia $100, Mia will have 4 times as much as Jennifer. What sum has each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91878 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=91878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Anna, Jennifer, and Mia have certain sums of money. If Anna gives Jennifer $100, they will have the same amount; if Anna gives Mia $100, Mia will have twice as much as Anna; if Jennifer gives Mia $100, Mia will have 4 times as much as Jennifer. What sum has each?<BR>\n" );
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document.write( "Let a = Anna$; j = Jenn$; m = Mia$<BR>\n" );
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document.write( "Write an equation for equation for each statement:<BR>\n" );
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document.write( "\"If Anna gives Jennifer $100, they will have the same amount;\"<BR>\n" );
document.write( "a - 100 = j + 100<BR>\n" );
document.write( "or<BR>\n" );
document.write( "j + 100 = a - 100<BR>\n" );
document.write( "j = a - 100 - 100<BR>\n" );
document.write( "j = a - 200<BR>\n" );
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document.write( "\"if Anna gives Mia $100, Mia will have twice as much as Anna;\"<BR>\n" );
document.write( "m + 100 = 2(a - 100)<BR>\n" );
document.write( "m + 100 = 2a - 200<BR>\n" );
document.write( "m = 2a - 200 - 100<BR>\n" );
document.write( "m = 2a - 300<BR>\n" );
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document.write( "\"if Jennifer gives Mia $100, Mia will have 4 times as much as Jennifer.\"<BR>\n" );
document.write( "m + 100 = 4(j-100)<BR>\n" );
document.write( "m + 100 = 4j - 400<BR>\n" );
document.write( "m = 4j - 400 - 100<BR>\n" );
document.write( "m = 4j - 500<BR>\n" );
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document.write( "In the above equation, substitute (a-200) for j and (2a-300) for m; solve for a<BR>\n" );
document.write( "(2a-300) = 4(a-200) - 500<BR>\n" );
document.write( "2a - 300 = 4a - 800 - 500<BR>\n" );
document.write( "2a - 300 = 4a - 1300<BR>\n" );
document.write( "-300 + 1300 = 4a - 2a<BR>\n" );
document.write( "1000 = 2a<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000%2F2 ALIGN=MIDDLE  ALT=\"1000%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = $500 <BR>\n" );
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document.write( "m = 2a - 300<BR>\n" );
document.write( "Substitute 500 for a<BR>\n" );
document.write( "m = 2(500) - 300<BR>\n" );
document.write( "m = 1000 - 300<BR>\n" );
document.write( "m = 700 <BR>\n" );
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document.write( "Use m = 4j - 500 to find j; substitute 700 for m<BR>\n" );
document.write( "700 = 4j - 500<BR>\n" );
document.write( "700 + 500 = 4j<BR>\n" );
document.write( "1200 = 4j<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F4 ALIGN=MIDDLE  ALT=\"1200%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 300<BR>\n" );
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document.write( "Anna had $500; Mia had $700 and Jenn had $300 </SPAN>\n" );
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