document.write( "Question 981523: at a mathematics Quiz 30 problems were given. each correct answer earned 4 points and 2 points were deducted for each incorrect answer andrew answered all but one of the problems, scoring 86 points how many correct answer did he have \n" ); document.write( "
Algebra.Com's Answer #602557 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "C=correct answers; I=incorrect answers; A=total answered=29 \n" ); document.write( ". \n" ); document.write( "I+C=A \n" ); document.write( "I+C=29 \n" ); document.write( "I=29-C Use to substitute for I below. \n" ); document.write( ". \n" ); document.write( "4C-2I=86 Substitute for I from above. \n" ); document.write( "4C-(2)(29-C)=86 \n" ); document.write( "4C-58+2C=86 Add 58 to each side. \n" ); document.write( "6C=144 Divide each side by 6. \n" ); document.write( "C=24 ANSWER: Andrew answered 24 questions correctly. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( ". \n" ); document.write( "I-29-C=29-24=5 \n" ); document.write( ". \n" ); document.write( "4C-2I=86 \n" ); document.write( "4(24)-2(5)=86 \n" ); document.write( "96-10=86 \n" ); document.write( "86=86 \n" ); document.write( " |