document.write( "Question 1106012: anita, cheri, miguel, and jake went bowling one night for fun they decided to pit the girls against the boys, with the highest score for each team winning. \r
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document.write( "anita scored 18 less than miguel, cheri's score was 16 less than twice anita's, cheri outscored jake by 21. \r
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document.write( "if the total score by all four kids was 529, what was the final scores of the match?
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Algebra.Com's Answer #721548 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let the scores be A, C, J, and M for Anita, Cheri, Jake, and Miguel, respectively. \n" ); document.write( "The information as given is \n" ); document.write( "(1) A = M-18 \n" ); document.write( "(2) C = 2A-16 \n" ); document.write( "(3) C = J+21 \n" ); document.write( "Rearrange the given information to express all four scores in terms on just one of them. \n" ); document.write( "Equations (1) and (2) relate both C and M to A. Equation (3) relates J to C, so then equations (3) and (2) together let us relate J to A. So A should be the variable we use. Then \n" ); document.write( "A = A \n" ); document.write( "M = A+18 [from (1)] \n" ); document.write( "C = 2A-16 [(2)] \n" ); document.write( "J = 2A-37 [from (2) and (3)] \n" ); document.write( "Then, since the sum of the scores was 529, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "The individual scores were... \n" ); document.write( "Anita = A = 94 \n" ); document.write( "Cheri = 2A-16 = 172 \n" ); document.write( "Jake = 2A-37 = 151 \n" ); document.write( "Miguel = A+18 = 112 \n" ); document.write( "CHECK: \n" ); document.write( " \n" ); document.write( " |