document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167009>Question 167009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> there are 26 problems on a test.  The boys father offers $8.00 for each correct answer and will take away $5.00 for each incorrect answer.  At the end of the test they don't owe each other any money.  How many questions did the boy answer correctlY. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123018 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=123018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of correctly-answered problems and y = the number of incorrectly-answered problems.<BR>\n" );
document.write( "The sum of these is given as 26 (x+y = 26), the total number of problems on the test.<BR>\n" );
document.write( "Foe each correct answer, the son gets $8.00 for a total of x($8.00).<BR>\n" );
document.write( "For each incorrect answer, the son loses $5.00 for a total of -y($5.00).<BR>\n" );
document.write( "In the end, these two ampounts must be equal since neither one owes the other anything, so...<BR>\n" );
document.write( "x($8.00)-y($5.00) = 0 From (x+y = 26), substitute: y = 26-x.<BR>\n" );
document.write( "(8)(x)-(5)(26-x) = 0 Simplify.<BR>\n" );
document.write( "8x-130+5x = 0<BR>\n" );
document.write( "13x-130 = 0<BR>\n" );
document.write( "13x = 130<BR>\n" );
document.write( "x = 10 and y = 16<BR>\n" );
document.write( "The boy answered 10 questions correctly.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );