document.write( "Question 522324: Use an algebraic approach to solve the problem. (Objective 2)\r
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document.write( "Aura took three biology exams and has an average score of 87. Her second exam score was 7 points better than her first, and her third exam score was 4 points better than her second exam. What were her three exam scores?
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document.write( " (highest score)
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Algebra.Com's Answer #347093 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Aura took three biology exams and has an average score of 87. \n" ); document.write( " \n" ); document.write( "a + b + c = 3(87) \n" ); document.write( "a + b + c = 261 \n" ); document.write( ": \n" ); document.write( " Her second exam score was 7 points better than her first, \n" ); document.write( "b = a+7 \n" ); document.write( "or \n" ); document.write( "a = b-7 \n" ); document.write( ": \n" ); document.write( " and her third exam score was 4 points better than her second exam. \n" ); document.write( "c = b+4 \n" ); document.write( ": \n" ); document.write( "a + b + c = 261 \n" ); document.write( "Replace a and c \n" ); document.write( "(b-7) + b + (b+4) = 261 \n" ); document.write( "3b - 3 = 261 \n" ); document.write( "3b = 261 + 3 \n" ); document.write( "3b = 264 \n" ); document.write( "b = 264/3 \n" ); document.write( "b = 88 \n" ); document.write( ": \n" ); document.write( "You should be able to find a and c now\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " What were her three exam scores? \n" ); document.write( "(lowest score) \n" ); document.write( " |