document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469436>Question 469436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Jennifer is 3x as old as Tony.  2 years ago she was 4x as old as tony was then.  How old is tony now.\r<BR>\n" );
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document.write( "2.  Lisa is now 9 days older than tom.  In 2 years lisa will be 2x as old as tom will be then.  How many years old is lisa now.\r<BR>\n" );
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document.write( "3.  A group of friends chipped in equally to buy a birthday present.  Each person paid $8.  If 2 more friends chipped in everyone would have paid only $7.  How much did the gift cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322081 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ************************************<BR>\n" );
document.write( "1. Let J and T represent the respective ages of Jennifer and Tony<BR>\n" );
document.write( "Write the given information as equations<BR>\n" );
document.write( "J = 3T<BR>\n" );
document.write( "(J-2) = 4(T-2)<BR>\n" );
document.write( "Substitute 3T for J in 2nd equation<BR>\n" );
document.write( "3T - 2 = 4(T-2)<BR>\n" );
document.write( "Distribute<BR>\n" );
document.write( "3T - 2 = 4T - 8<BR>\n" );
document.write( "Subtract 4T on both sides<BR>\n" );
document.write( "-T -2 = -8<BR>\n" );
document.write( "Add 2 on both sides<BR>\n" );
document.write( "-T = -6<BR>\n" );
document.write( "Flip Signs<BR>\n" );
document.write( "T = 6<BR>\n" );
document.write( "Therefore Tony is 6 years old, Jennifer is 18 years old<BR>\n" );
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document.write( "2. Let L and T represent the respective ages of Lisa and Tom<BR>\n" );
document.write( "Write the given information as equations<BR>\n" );
document.write( "(i think you had a typo, it should be 9 years not days)<BR>\n" );
document.write( "L = T + 9<BR>\n" );
document.write( "(L+2) = 2(T+2)<BR>\n" );
document.write( "Substitute (T+9) for L in 2nd equation<BR>\n" );
document.write( "(T+9)+2 = 2(T+2)<BR>\n" );
document.write( "Distribute<BR>\n" );
document.write( "T + 11 = 2T + 4<BR>\n" );
document.write( "Subtract 2T on both sides<BR>\n" );
document.write( "-T + 11 = 4<BR>\n" );
document.write( "Subtract 11 on both sides<BR>\n" );
document.write( "-T = -7<BR>\n" );
document.write( "Flip Signs<BR>\n" );
document.write( "T = 7<BR>\n" );
document.write( "Therefore Tom is 7 years old, Lisa is 16 years old<BR>\n" );
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document.write( "3. Each person paid equally<BR>\n" );
document.write( "Let n be number of friends, g be cost of gift<BR>\n" );
document.write( "g = 8n<BR>\n" );
document.write( "g = 7(n+2)<BR>\n" );
document.write( "Substitute 8n for g in 2nd equation<BR>\n" );
document.write( "8n = 7(n+2)<BR>\n" );
document.write( "Distribute<BR>\n" );
document.write( "8n = 7n + 14<BR>\n" );
document.write( "Subtract 7n on both sides<BR>\n" );
document.write( "n = 14<BR>\n" );
document.write( "Substitute value into 1st equation<BR>\n" );
document.write( "g = 8*14 = 112<BR>\n" );
document.write( "Therefore cost of the gift was $112<BR>\n" );
document.write( " </SPAN>\n" );
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