document.write( "Question 452378: The sum of a student's three scores is 228. If the first is 21 points more than the second, and the sum
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document.write( "of the first two is 3 more than twice the third, what was the first score? \n" );
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Algebra.Com's Answer #311064 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of a student's three scores is 228. \n" ); document.write( "a + b + c = 228 \n" ); document.write( "; \n" ); document.write( " If the first is 21 points more than the second, \n" ); document.write( "a = b + 21 \n" ); document.write( "or \n" ); document.write( "a - b = 21; will use this for elimination \n" ); document.write( ": \n" ); document.write( "the sum of the first two is 3 more than twice the third, \n" ); document.write( "a + b = 2c + 3 \n" ); document.write( ": \n" ); document.write( "what was the first score? \n" ); document.write( ": \n" ); document.write( "In the 1st equation, replace a+b with (2c+3), find c \n" ); document.write( "2c + 3 + c = 228 \n" ); document.write( "3c = 228 - 3 \n" ); document.write( "c = \n" ); document.write( "c = 75 is the 3rd score \n" ); document.write( ": \n" ); document.write( "Replace c with 75 in the 1st equation \n" ); document.write( "a + b + 75 = 228 \n" ); document.write( "a + b = 228 - 75 \n" ); document.write( ": \n" ); document.write( "a + b = 153 \n" ); document.write( "a - b = 21; addition eliminates b find a \n" ); document.write( "------------- \n" ); document.write( "2a = 174 \n" ); document.write( "a = \n" ); document.write( "a = 87 is the 1st score \n" ); document.write( " |