document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386758>Question 386758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mona's age is 4 times Bailey's age. The sum of their ages is 15. Find the age of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #273359 by </B><A HREF=/tutors/aboutme.mpl?userid=gwendolyn><B>gwendolyn(128)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gwendolyn><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=gwendolyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=273359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we'll assign variables to both ages.<BR>\n" );
document.write( "let M=Mona's age<BR>\n" );
document.write( "let B=Bailey's age\r<BR>\n" );
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document.write( "Then, we'll come up with two equations to solve our two variables.<BR>\n" );
document.write( "Mona's age is 4 times Bailey's age. This can be shown algebraically as below:<BR>\n" );
document.write( "M=4B\r<BR>\n" );
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document.write( "We also know that Mona's age plus Bailey's age is 15. This, in an algebraic statement, can be written as below:<BR>\n" );
document.write( "M+B=15<BR>\n" );
document.write( "We can substitute the value of M in terms of B from the first equation into the second equation:<BR>\n" );
document.write( "4B+B=15<BR>\n" );
document.write( "5B=15<BR>\n" );
document.write( "Then, we can divide both sides of the w equation by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5B%2F5=15%2F5 ALIGN=MIDDLE  ALT=\"5B%2F5=15%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B=3\r<BR>\n" );
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document.write( "Therefore, Bailey is 3 years old. We also want to know Mona's age, so we can simply plug in Bailey's age to either equation and find it. <BR>\n" );
document.write( "M+B=15<BR>\n" );
document.write( "M+3=15<BR>\n" );
document.write( "M=12<BR>\n" );
document.write( "Therefore, Mona is 12 and Bailey is 3.  </SPAN>\n" );
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