document.write( "Question 531647: jess chris and nick scored a total of 249 points on their math exam. jess score was 20 points higher than chris's score. twice nicks score was 6 more than the sum of chris's and jess's score waht was each of their scores on the exam? \n" ); document.write( "
Algebra.Com's Answer #350541 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! jess chris and nick scored a total of 249 points on their math exam. jess score was 20 points higher than chris's score. twice nicks score was 6 more than the sum of chris's and jess's score waht was each of their scores on the exam? \n" ); document.write( "------------------------- \n" ); document.write( "Equations: \n" ); document.write( "j + c + n = 249 points \n" ); document.write( "---- \n" ); document.write( "j = c+20 \n" ); document.write( "2n = c + j + 6 \n" ); document.write( "--------------------------- \n" ); document.write( "Modify by substituting: \n" ); document.write( "2n = c + c+20 + 6 \n" ); document.write( "2n = 2c + 26 \n" ); document.write( "n = c + 13 \n" ); document.write( "---- \n" ); document.write( "Substitute for j and n and solve for \"c\": \n" ); document.write( "c+20 + c+13 + c = 249 \n" ); document.write( "3c + 33 = 249 \n" ); document.write( "3c = 216 \n" ); document.write( "c = 72 (# of points Chris has) \n" ); document.write( "j = c + 20 = 92 (# of points jess has) \n" ); document.write( "n = c + 13 = 85 (# of points nick has) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |