document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017360>Question 1017360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sophia’s math test is worth 130 points and has 40 problems. Each problem is worth either 4 points or 3 points. How many of each question type were on the test?\r<BR>\n" );
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document.write( "A. The test had 30 4-point questions and 10 3-point questions.<BR>\n" );
document.write( "B. The test had 10 4-point questions and 30 3-point questions.<BR>\n" );
document.write( "C. The test had 28 4-point questions and 12 3-point questions.<BR>\n" );
document.write( "D. The test had 25 4-point questions and 10 3-point questions.\r<BR>\n" );
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document.write( "First I used process of elimination and figured out that A and C were wrong. This is because it doesn't add up to the total 130.\r<BR>\n" );
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document.write( "then I wrote out the equation in numbers\r<BR>\n" );
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document.write( "4x+3y=130\r<BR>\n" );
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document.write( "X+Y=40\r<BR>\n" );
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document.write( "now this is where I got stuck.\r<BR>\n" );
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document.write( "Any help is appreciated! <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 #633647 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "USING SUBSTITUTION:<BR>\n" );
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document.write( "T=number of three point questions; F=number of four pint question<BR>\n" );
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document.write( "T+F=40<BR>\n" );
document.write( "T=40-F . Use this to substitute for T below.<BR>\n" );
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document.write( "3T+4F=130 . Substitute for T from above.<BR>\n" );
document.write( "3(40-F)+4F=130 <BR>\n" );
document.write( "120-3F+4F=130<BR>\n" );
document.write( "F=10  <BR>\n" );
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document.write( "T=40-F=40-10=30<BR>\n" );
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document.write( "ANSWER: There were thirty 3 point and ten 4 point questions.<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "3T+4F=130<BR>\n" );
document.write( "3(30)+4(10)=130<BR>\n" );
document.write( "90+40=130<BR>\n" );
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document.write( "-OR- <BR>\n" );
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document.write( "USING ELIMINATION:<BR>\n" );
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document.write( "3T+4F=130<BR>\n" );
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document.write( "T+F=40 . Multiply by 3.<BR>\n" );
document.write( "3T+3F=120 . Subtract from first equation.<BR>\n" );
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document.write( ".(3T+4F=130)<BR>\n" );
document.write( "-(3T+3F=120)<BR>\n" );
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document.write( "F=10<BR>\n" );
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document.write( "Same as above.<BR>\n" );
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