document.write( "Question 574890: You answered all 100 questions on a test. You had 74 more correct answers than incorrect answers. How many correct answers did you have?\r
\n" ); document.write( "\n" ); document.write( "I know what the answer is, however, I need to know how that answer is figured showing the problems, thinking, & strategies used.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "Cherylin \n" ); document.write( "
Algebra.Com's Answer #369331 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
You answered all 100 questions on a test.
\n" ); document.write( " You had 74 more correct answers than incorrect answers.
\n" ); document.write( " How many correct answers did you have?
\n" ); document.write( ":
\n" ); document.write( "Let c = no. of correct answers
\n" ); document.write( "Let w = no. of wrong answers
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"You answered all 100 questions on a test.\"
\n" ); document.write( "c + w = 100
\n" ); document.write( ":
\n" ); document.write( "\" You had 74 more correct answers than incorrect answers.\"
\n" ); document.write( "w = c - 74
\n" ); document.write( ";
\n" ); document.write( "Replace w with (c-74) in the 1st equation
\n" ); document.write( "c + (c-74) = 100
\n" ); document.write( "c + c = 100 + 74
\n" ); document.write( "2c = 174
\n" ); document.write( "c = 174/2
\n" ); document.write( "c = 87 correct answers
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check this: 87 - 74 = 13 wrong answer
\n" ); document.write( "13 + 87 = 100 confirms our solution of c = 87\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );