document.write( "Question 198996: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
\n" );
document.write( "a. Write a system of equations to find the number of each type of question.
\n" );
document.write( "b. Solve the system by subtitution.
\n" );
document.write( "c. How many questions of each type are on the test? \n" );
document.write( "
Algebra.Com's Answer #149479 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let a = # of 4 pt questions, and b = # of 5 point questions \n" ); document.write( ". \n" ); document.write( "4a +5b =100 \n" ); document.write( "and a+b=24,,,or a = 24-b \n" ); document.write( ". \n" ); document.write( "4(24-b) +5b = 100 \n" ); document.write( ". \n" ); document.write( "96 -4b +5b = 100 \n" ); document.write( ". \n" ); document.write( "b= 4 \n" ); document.write( ". \n" ); document.write( "a= 24-b = 20 \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( "4(20) + 5(4) = 100 ,,,,ok \n" ); document.write( " |