document.write( "Question 182435: hi i'm having an extreme amount of trouble setting up word problems for linear equations , especially this one .\r
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\n" ); document.write( "\n" ); document.write( "Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test? \n" ); document.write( "
Algebra.Com's Answer #136920 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?
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\n" ); document.write( "Equations:
\n" ); document.write( "t + f = 40
\n" ); document.write( "2t+4f = 100
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\n" ); document.write( "Modify:
\n" ); document.write( "t + f = 40
\n" ); document.write( "t + 2f = 50
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\n" ); document.write( "Subtract 1st from 2nd to solve for \"f\":
\n" ); document.write( "f = 10 (# of 4 point questions)
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\n" ); document.write( "Substitute to solve for \"t\"
\n" ); document.write( "t + 10 = 40
\n" ); document.write( "t = 30 (# of 2 point questions)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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