document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=809956>Question 809956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I am trying to work out the total of my scores so I am able to know how much marks I need to obtain in my exam to pass my unit.<BR>\n" );
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document.write( "Exam worth 30% grade, my assessments worth 70%\r<BR>\n" );
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document.write( "Test 1- score 80% -worth 2.5%<BR>\n" );
document.write( "Test 2- score 100%- worth 2.5%<BR>\n" );
document.write( "Test 3- score 65%- worth 5%<BR>\n" );
document.write( "Test 4- score 70%- worth 10%<BR>\n" );
document.write( "Test 5- score 65%- worth 25%<BR>\n" );
document.write( "Test 6- score 80% - worth 10%<BR>\n" );
document.write( "Test 7- score 70%- worth 15%\r<BR>\n" );
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document.write( "so how do I work this out?<BR>\n" );
document.write( "Thank you for your time. Hope your having a great day!\r<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 #487885 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=487885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First convert each percentage to decimal form. You do this by dividing the percentage by 100. So for instance 10% = 10/100 = 0.10 and 85% = 85/100 = 0.85, I'm sure you get the idea.\r<BR>\n" );
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document.write( "Then you multiply each decimal form of the percentages together in pairs. So for test 1, we have 80% of 2.5% which means we do 0.80*0.025 = 0.02\r<BR>\n" );
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document.write( "For test 2, we have 100% of 2.5% ---> 1.00 * 0.025 = 0.025\r<BR>\n" );
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document.write( "Test 3: 65% of 5% = 0.65 * 0.05 = 0.0325\r<BR>\n" );
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document.write( "Test 4: 70% of 10% = 0.70 * 0.10 = 0.07\r<BR>\n" );
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document.write( "Test 5: 65% of 25% = 0.65*0.25 = 0.1625\r<BR>\n" );
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document.write( "Test 6: 80% of 10% = 0.80 * 0.10 = 0.08\r<BR>\n" );
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document.write( "Test 7: 70% of 15% = 0.70 * 0.15 = 0.105\r<BR>\n" );
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document.write( "Now add up the products we got above\r<BR>\n" );
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document.write( "0.02 + 0.025 + 0.0325 + 0.07 + 0.1625 + 0.08 + 0.105 = 0.495\r<BR>\n" );
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document.write( "So far, we have 0.495\r<BR>\n" );
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document.write( "Now let's say that 'x' is the exam score. 30% of this score is 0.30x\r<BR>\n" );
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document.write( "Add this to 0.495 to get 0.30x + 0.495\r<BR>\n" );
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document.write( "And let's say we want to get a 70% or higher, so make 0.30x + 0.495 larger than 0.70 to get\r<BR>\n" );
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document.write( "0.30x + 0.495 > 0.70\r<BR>\n" );
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document.write( "0.30x > 0.70 - 0.495\r<BR>\n" );
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document.write( "0.30x > 0.205\r<BR>\n" );
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document.write( "x > 0.205/0.30\r<BR>\n" );
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document.write( "x > 0.6833\r<BR>\n" );
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document.write( "So that means you need to score a 68.33% (roughly) on the exam (or higher) to get a 70% or higher overall grade.\r<BR>\n" );
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document.write( "Note: replace 0.70 in the original inequality with whatever you want (say 0.80) if you want to bump up the passing threshold. </SPAN>\n" );
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