document.write( "Question 182434: 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 #136921 by Alan3354(69443)\"\" \"About 
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hi i'm having an extreme amount of trouble setting up word problems for linear equations , especially this one . \r
\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?
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\n" ); document.write( "Word problems are the scourge of the known universe. Maybe humans made a mistake by learning language. Anyway,
\n" ); document.write( "to save typing, use t for the two point questions and f for the four point questions.
\n" ); document.write( "t+f = 40 (there are 40 questions total)
\n" ); document.write( "2t+4f = 100 (2 points for each t, 4 for each f, 100 total)
\n" ); document.write( "Now, it's a math problem, 2 equations in 2 unknowns.
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\n" ); document.write( "t+f = 40 (no talking)
\n" ); document.write( "2t+4f = 100 --> t+2f = 50 (divided by 2)
\n" ); document.write( "t+f = 40 (still)
\n" ); document.write( "t+2f = 50
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\n" ); document.write( "0t-f = -10
\n" ); document.write( "f = 10 (10 4-point questions)
\n" ); document.write( "t = 30 (must be 30, there are 40 total)
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