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 #87516 by josmiceli(19441) $\"\"$ $\"About$

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What if all the questions were 4-point? then the total
\n" ); document.write( "score would be $\"4%2A40+=+160\"$ , but the total score
\n" ); document.write( "should be $\"100\"$
\n" ); document.write( "What if all the questions were 2-point? Then the total
\n" ); document.write( "score would be $\"2%2A40+=+80\"$ That's too low.
\n" ); document.write( "So there has to be a mixture of 2-point and 4-point.
\n" ); document.write( "It looks like there are more 2-point than 4-point,
\n" ); document.write( "because $\"2%2A40+=+80\"$ is almost there.
\n" ); document.write( "Lets chart some numbers
\n" ); document.write( " $\"2%2A40+=+80\"$
\n" ); document.write( " $\"2%2A38+=+76\"$ and $\"2%2A4+=+8\"$ the sum is $\"76+%2B+8+=+84\"$
\n" ); document.write( " $\"2%2A36+=+72\"$ and $\"4%2A4+=+16\"$ the sum is $\"72+%2B+16+=+88\"$
\n" ); document.write( " $\"2%2A34+=+68\"$ and $\"6%2A4+=+24\"$ the sum is $\"68+%2B+24+=+92\"$
\n" ); document.write( " $\"2%2A32+=+64\"$ and $\"8%2A4+=+32\"$ the sum is $\"64+%2B+32+=+96\"$
\n" ); document.write( " $\"2%2A30+=+60\"$ and $\"10%2A4+=+40\"$ the sum is $\"60+%2B+40+=+100\"$
\n" ); document.write( "That's the answer
\n" ); document.write( "There are 30 2-point questions giving 60 points
\n" ); document.write( "and ther are 10 4-point questions giving 40 points for
\n" ); document.write( "a total of 100 points on a 40 question test \n" ); document.write( "

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