document.write( "Question 132010This question is from textbook Algebra 1
\n" ); document.write( ": Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worh either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there? \n" ); document.write( "

Algebra.Com's Answer #96393 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5x+%2B+2%2A%2838+-+x%29+=+100\"$
\n" ); document.write( " $\"5x+%2B+76+-+2x+=+100\"$
\n" ); document.write( " $\"3x+=+24\"$
\n" ); document.write( " $\"x+=+8\"$
\n" ); document.write( " $\"38+-+x+=+30\"$
\n" ); document.write( "There are 8 questions worth 5 points and 30 questions worth 2 points
\n" ); document.write( "check:
\n" ); document.write( " $\"5x+%2B+2%2A%2838+-+x%29+=+100\"$
\n" ); document.write( " $\"5%2A8+%2B+2%2A%2838+-+8%29+=+100\"$
\n" ); document.write( " $\"40+%2B+60+=+100\"$
\n" ); document.write( " $\"100+=+100\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );