document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574803>Question 574803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please someone explain this I have a very hard time with percentages\r<BR>\n" );
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document.write( "Bayside insurence offers two health plans. Under the first plan Giselle would have to pay the first $200 and 35%. Under plan B she would pay the first $240 and 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume her bills were over $240 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369300 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=369300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bayside insurance offers two health plans. <BR>\n" );
document.write( "Under the first plan Giselle would have to pay the first $200 and 35%.<BR>\n" );
document.write( "Under plan B she would pay the first $240 and 20% of the rest.<BR>\n" );
document.write( " For what amount of medical bills will plan B save Giselle money?<BR>\n" );
document.write( " Assume her bills were over $240<BR>\n" );
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document.write( "Let x = amt of med bills she had, have to be at least $240<BR>\n" );
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document.write( "Use the decimal equiv of the per cents given.<BR>\n" );
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document.write( "C(x) = Cost in terms of x<BR>\n" );
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document.write( "Plan A: C(x) = .35(x-200) + 200<BR>\n" );
document.write( "Plan B: C(x) = .20(x-240) + 240<BR>\n" );
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document.write( "\" For what amount of medical bills will plan B save Giselle money?\"<BR>\n" );
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document.write( "Plan B less than Plan A<BR>\n" );
document.write( ".20(x-240)+240 < .35(x-200) + 200<BR>\n" );
document.write( ".20x - 48 + 240 < .35x - 70 + 200<BR>\n" );
document.write( ".20x + 192 < .35x + 130<BR>\n" );
document.write( ".20x - .35x < 130 - 192<BR>\n" );
document.write( "-.15x < -62<BR>\n" );
document.write( "We need x to be positive, multiply both sides by -1, this reverses the inequality sign<BR>\n" );
document.write( ".15x > 62<BR>\n" );
document.write( "Divide both sides by .15<BR>\n" );
document.write( "x > 62/.15<BR>\n" );
document.write( "x > $413.33<BR>\n" );
document.write( "we can say:<BR>\n" );
document.write( "\"When her medical expenses exceed $413.33, plan B is the better plan\"<BR>\n" );
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document.write( "Did I explain it sufficiently for you to understand what went on here? </SPAN>\n" );
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