document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088348>Question 1088348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shania is 4 times as old as Jenny. Jenny is 3 years older than Enrique. If their total age is 57, how old will Jenny be in four years ?\r<BR>\n" );
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document.write( "I tried the following:\r<BR>\n" );
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document.write( "S = 4x<BR>\n" );
document.write( "J = x +3<BR>\n" );
document.write( "E = x\r<BR>\n" );
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document.write( "4x+x+3+x=57\r<BR>\n" );
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document.write( "not sure how to continue from here...<BR>\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702606 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E = Enrique's current age<BR>\n" );
document.write( "J = Jenny's current age<BR>\n" );
document.write( "S = Shania's current age\r<BR>\n" );
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document.write( "Given: \"Shania is 4 times as old as Jenny\"<BR>\n" );
document.write( "Translation: S = 4*J<BR>\n" );
document.write( "Call this equation (1)\r<BR>\n" );
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document.write( "Given: \"Jenny is 3 years older than Enrique\"<BR>\n" );
document.write( "Translation: J = E+3<BR>\n" );
document.write( "Call this equation (2)\r<BR>\n" );
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document.write( "Given: \" their total age is 57\"<BR>\n" );
document.write( "Translation: E+J+S = 57<BR>\n" );
document.write( "Call this equation (3)\r<BR>\n" );
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document.write( "Focus on equation (3). That equation is E+J+S = 57\r<BR>\n" );
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document.write( "Let's make a few replacements or substitutions\r<BR>\n" );
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document.write( "E+J+S = 57<BR>\n" );
document.write( "E+J+4*J = 57 ... replace S with 4*J (see equation (1) above)<BR>\n" );
document.write( "E+E+3+4*(E+3) = 57 ... replace every J with E+3 (see equation (2) above)\r<BR>\n" );
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document.write( "Now solve for E<BR>\n" );
document.write( "E+E+3+4*(E+3) = 57<BR>\n" );
document.write( "E+E+3+4*E+4*3 = 57<BR>\n" );
document.write( "6*E+15 = 57<BR>\n" );
document.write( "6*E+15-15 = 57-15<BR>\n" );
document.write( "6*E = 42<BR>\n" );
document.write( "6*E/6 = 42/6<BR>\n" );
document.write( "E = 7\r<BR>\n" );
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document.write( "Currently, Enrique is 7 years old. \r<BR>\n" );
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document.write( "Go back to equation (2). Plug in E = 7 to find J<BR>\n" );
document.write( "J = E+3<BR>\n" );
document.write( "J = 7+3<BR>\n" );
document.write( "J = 10<BR>\n" );
document.write( "So currently Jenny is 10 years old. \r<BR>\n" );
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document.write( "Extra (optional) info: if J = 10, then using equation (1) we can say S = 4*J = 4*10 = 40, so Shania is currently 40 years old. Note how E+J+S = 7+10+40 = 57 so that checks out. \r<BR>\n" );
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document.write( "The question is asking \" how old will Jenny be in four years ?\", so we simply add 4 to the value of J to get J+4 = 10+4 = 14.\r<BR>\n" );
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document.write( "Final Answer: <font color=red>14</font> </SPAN>\n" );
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