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
\n" ); document.write( "\n" ); document.write( "anita scored 18 less than miguel, cheri's score was 16 less than twice anita's, cheri outscored jake by 21. \r
\n" ); document.write( "\n" ); 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)\"\" \"About 
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\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( "\"A%2B%28A%2B18%29%2B%282A-16%29%2B%282A-37%29+=+529\"
\n" ); document.write( "\"6A-35+=+529\"
\n" ); document.write( "\"6A+=+564\"
\n" ); document.write( "\"A+=+94\"

\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: \"94%2B172%2B151%2B112+=+529\"
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