document.write( "Question 119468This question is from textbook Algebra I
\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 #87521 by Fombitz(32388) $\"\"$ $\"About$

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Let T=number of 2 point questions
\n" ); document.write( "Let F=number of 4 point questions
\n" ); document.write( "1. $\"T%2BF=40\"$ Total number of questions is 40.
\n" ); document.write( "2. $\"2T%2B4F=100\"$ Total point value is 100.
\n" ); document.write( "From 1,
\n" ); document.write( " $\"T%2BF=40\"$
\n" ); document.write( " $\"T=40-F\"$
\n" ); document.write( "Substitute that value into 2.
\n" ); document.write( " $\"2T%2B4F=100\"$
\n" ); document.write( " $\"2%2840-F%29%2B4F=100\"$
\n" ); document.write( " $\"80-2F%2B4F=100\"$
\n" ); document.write( " $\"80%2B2F=100\"$
\n" ); document.write( " $\"2F=20\"$
\n" ); document.write( " $\"F=10\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"T=40-F\"$
\n" ); document.write( " $\"T=40-10\"$
\n" ); document.write( " $\"T=30\"$
\n" ); document.write( "There are 30 2 point questions and 10 4 point questions.
\n" ); document.write( " \n" ); document.write( "

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