document.write( "Question 799016: A test is worth 100 points. There are 46 questions on the test. Each problem is worth either 2 points or 4 points. How many 2 point problems are there and how many 4 point problems are there on the test? \n" ); document.write( "
Algebra.Com's Answer #482460 by Finavon(81)![]() ![]() ![]() You can put this solution on YOUR website! s two point questions and d four point \n" ); document.write( "2s+4d=100 \n" ); document.write( "s+d=46 \n" ); document.write( "so s=46-d \n" ); document.write( "subst for s: 2*(46-d) + 4d =100 \n" ); document.write( "92 - 2d + 4d =100 \n" ); document.write( "2d = 8 \n" ); document.write( "d=4 \n" ); document.write( "s=46-4=42 \n" ); document.write( "There are 4 4-point and 42 2-point questions\r \n" ); document.write( "\n" ); document.write( "Check: 16 + 84 = 100 \n" ); document.write( " |