document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579308>Question 579308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ida owed her parents x dollars. Last month she paid 1/6 of the amount owed. This month she paid 1/6 of the remaining amoun plus $20.00. In terms of x, how much money does she still owe?\r<BR>\n" );
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document.write( "A) (x-2)/(6)<BR>\n" );
document.write( "B) (5/6)x - 20<BR>\n" );
document.write( "C) (5x-20)/(6)<BR>\n" );
document.write( "D) (25/36)x - 20<BR>\n" );
document.write( "E) (25x-20)/(36)\r<BR>\n" );
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document.write( "I'm confused and I don't know how to approach and solve this..<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370927 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> she owed her parents x dollars.<BR>\n" );
document.write( "last month she paid 1/6 of the amount owed.<BR>\n" );
document.write( "she still owes x - (1/6)*x = (5/6)*x of the amount owed.<BR>\n" );
document.write( "this month she paid 1/6 of the remaining amount plus $20.00 dollars.<BR>\n" );
document.write( "the remaining amount is (5/6)*x<BR>\n" );
document.write( "she paid (1/6)*(5/6)*x of it back plus she gave them an additional $20.00.<BR>\n" );
document.write( "the amount remaining in the account is therefore equal to:<BR>\n" );
document.write( "(5/6)*x - (1/6)*(5/6)*x - $20.00<BR>\n" );
document.write( "if you simplify this equation, you will get:<BR>\n" );
document.write( "(5/6)*x - (5/36)*x - $20.00<BR>\n" );
document.write( "if you multiply (5/6) by (6/6), you will get (30/36).<BR>\n" );
document.write( "this means that (5/6) is equivalent to (30/36) and you can substitute for (5/6) in your equation to get:<BR>\n" );
document.write( "(5/6)*x - (5/36)*x - $20.00 becomes:<BR>\n" );
document.write( "(30/6)*x - (5/36)*x - $20.00<BR>\n" );
document.write( "since the denominator is now the same, you can combine the 2 fractions into 1 to get:<BR>\n" );
document.write( "((30 - 5)/36)*x - $20.00 which can be simplified to:<BR>\n" );
document.write( "(25/36)*x - $20.00\r<BR>\n" );
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document.write( "looking at your possible solutions, the one that looks like it will fit is selection D.\r<BR>\n" );
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document.write( "let's see how this works.<BR>\n" );
document.write( "suppose she owed $36.00<BR>\n" );
document.write( "if we use the formula, then she should still owe (25/36)*36 - 20 which would be equal to $5.00\r<BR>\n" );
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document.write( "if we calculate it step by step, we would get:<BR>\n" );
document.write( "first month she pays 1/6 of 36 dollars which means she pays 6 dollars which means she still owes 30 dollars.<BR>\n" );
document.write( "second month she pays 1/6 of 30 dollars which means she pays 5 dollars which means she still owes 25 dollars.<BR>\n" );
document.write( "she then pays an additional 20 dollars and she still owes 5 dollars.\r<BR>\n" );
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document.write( "the formula and the manual calculations agree so we're good.\r<BR>\n" );
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