document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962182>Question 962182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have been trying to solve this question but it proves to be a hard nut to crack. Can you please help me out? The question is thus;\r<BR>\n" );
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document.write( "Alex lives with his parents. All of them have a job. Once<BR>\n" );
document.write( "they calculated that if Alex earned twice as much, the<BR>\n" );
document.write( "total income of their family would have increased by 5%.<BR>\n" );
document.write( "Instead, if his mother’s earning increased by 50%, the<BR>\n" );
document.write( "total family income would have increased by 20%. By<BR>\n" );
document.write( "what percent would the family total income increase if<BR>\n" );
document.write( "only the father’s earnings have increased by 20%?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587923 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=587923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = Alex's income<BR>\n" );
document.write( "let m = Mom's income<BR>\n" );
document.write( "let f = Dad's income<BR>\n" );
document.write( "then<BR>\n" );
document.write( " t = total original income (a+m+f)<BR>\n" );
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document.write( "they calculated that if Alex earned twice as much, the total income of their family would have increased by 5%.<BR>\n" );
document.write( "a + t = 1.05t<BR>\n" );
document.write( "a = 1.05t - t<BR>\n" );
document.write( "a = .05t is A's salary <BR>\n" );
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document.write( "Instead, if his mother’s earning increased by 50%, the total family income would have increased by 20%.<BR>\n" );
document.write( ".5m + t = 1.2t<BR>\n" );
document.write( ".5m = 1.2t - t<BR>\n" );
document.write( ".5m = .2t<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "m = .4t is Mom's salary<BR>\n" );
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document.write( "We know that  a + m + f = t<BR>\n" );
document.write( "t = .05t + .4t + f<BR>\n" );
document.write( "f = t - .45t<BR>\n" );
document.write( "f = .55t is Dad's salary<BR>\n" );
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document.write( " \"By what percent would the family total income increase if only the father’s earnings have increased by 20%?\"<BR>\n" );
document.write( "1.2 * .55t = .66t, Dad's increased salary<BR>\n" );
document.write( "therefore: .66t - .55t = .11t. A 11% increase in total income<BR>\n" );
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document.write( "See if we can check this; assume the family income is $1000<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".05 * 1000 = $50 a month is Alex's salary<BR>\n" );
document.write( ".40 * 1000 = $400 a month is Mom's salary<BR>\n" );
document.write( ".55 * 1000 = $550 a month is Dad's salary<BR>\n" );
document.write( "Dad's salary is increase by 20%: 1.2 * 550 = $660 a months, $110 more<BR>\n" );
document.write( "110/1000 * 100 = 11% increase <BR>\n" );
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document.write( "Seems like there should be an easier way to do this, but I cannot come with it.<BR>\n" );
document.write( "CK, ankor@att.net\r<BR>\n" );
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