document.write( "Question 964138: A Tour organizer must take in $85,200 selling 60 Alaska tour packages. The deluxe tour package
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document.write( "sells for $1,800 per person and the standard tour package sells for $1,200 per person.
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document.write( "a.) Write the system of equations needed to solve this problem.
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document.write( "b.) Find out how many of each type of package must be sold to yield $85,200 by solving the system. \n" );
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Algebra.Com's Answer #589033 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "S=number standard packages; D=number deluxe packages \n" ); document.write( "S+D=60 \n" ); document.write( "S=60-D Use this to substitute for S. \n" ); document.write( "$1200S+$1800D=$85200 Substitute for S from above. \n" ); document.write( "$1200(60-D)+$1800D=$85200 \n" ); document.write( "$72000-$1200D+$1800D=$85200 Subtract $72000 from each side. \n" ); document.write( "$600D=$13200 Divide each side by $600 \n" ); document.write( "D=22 ANSWER 1:The organizer must sell 22 deluxe packages. \n" ); document.write( "S=60-D=60-22=38 ANSWER 2: The organizer must sell 38 standard packages. \n" ); document.write( "CHECK: \n" ); document.write( "$1200S+$1800D=$85200 \n" ); document.write( "$1200(38)+$1800(22)=$85200 \n" ); document.write( "($45600)+($39600)=$85200 \n" ); document.write( "$85200=$85200 \n" ); document.write( " \n" ); document.write( " |