document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40408>Question 40408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he read the fine print on the credit card statement, he saw that for each month he owed a balance, a finance charge of $17.50 would be added. How many months will it take Kareem to pay off the leather jacket? <BR>\n" );
document.write( "Thanks<BR>\n" );
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document.write( "One machine in a print shop can produce a certain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages?<BR>\n" );
document.write( "______minutes.<BR>\n" );
document.write( "Thanks <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25830 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=25830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he read the fine print on the credit card statement, he saw that for each month he owed a balance, a finance charge of $17.50 would be added. How many months will it take Kareem to pay off the leather jacket? \r<BR>\n" );
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document.write( "Let number of months needed to pay off the jacket be \"x\".<BR>\n" );
document.write( "PAYING Data: <BR>\n" );
document.write( " $50 per month for x months = 50x Dollars\r<BR>\n" );
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document.write( "OWING Data:<BR>\n" );
document.write( "$800 + $17.5x \r<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "50x=800+17.5x<BR>\n" );
document.write( "32.5x=800<BR>\n" );
document.write( "x=24.615....<BR>\n" );
document.write( "Number of months will be 1 more than 24 or 25 months.<BR>\n" );
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document.write( "One machine in a print shop can produce a certain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages?<BR>\n" );
document.write( "______minutes.\r<BR>\n" );
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document.write( "SLOWER MACHINE DATA:<BR>\n" );
document.write( " Number of minutes for job= x; Rate of production = 1/x job/min<BR>\n" );
document.write( "FASTER MACHINE DATA:<BR>\n" );
document.write( " Number of minutes for job= 2x; Rate of production = 1/2x job/min<BR>\n" );
document.write( "TOGETHER DATA:<BR>\n" );
document.write( " Number of minutes fo job= 8; Rate of production = 1/8 job/min\r<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( " slower rate + raster rate = together rate<BR>\n" );
document.write( "1/x + 1/2x = 1/8<BR>\n" );
document.write( "Multiply through by 8x to get:<BR>\n" );
document.write( "8+4=x<BR>\n" );
document.write( "x=12 minutes (time for slower machine to do the job)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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