document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147992>Question 1147992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A messenger service charges $10 to make a delivery to an address. In addition, each letter delivered costs $3 and each package delivered cost $8. If there are 15 more letters than packages delivered to this address, what is the maximum number of items than can be delivered for $85? </SPAN>\n" );
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document.write( "Let the number of packages be x; then the number of letters is x+15.<br><BR>\n" );
document.write( "The total cost is the delivery fee, plus $8 for each package and $3 for each letter; and the total cost has to be $85 or less.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B8%28x%29%2B3%28x%2B15%29+%3C=+85 ALIGN=MIDDLE  ALT=\"10%2B8%28x%29%2B3%28x%2B15%29+%3C=+85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2B55+%3C=+85 ALIGN=MIDDLE  ALT=\"11x%2B55+%3C=+85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x+%3C=+30 ALIGN=MIDDLE  ALT=\"11x+%3C=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In this problem, x has to be an integer; the largest integer value of x that satisfies that inequality is x=2.<br><BR>\n" );
document.write( "So the maximum number of items that can be delivered for $85 or less is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x%2B15%29+=+2%2B17+=+19 ALIGN=MIDDLE  ALT=\"x+%2B+%28x%2B15%29+=+2%2B17+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );