document.write( "Question 328869: Use a system of equations in two variables to solve this problem:\r
\n" );
document.write( "\n" );
document.write( "A father paid $119 for his family of 7 to spend the day at Magic Waters waterpark. How many tickets did he buy?\r
\n" );
document.write( "\n" );
document.write( "Admission
\n" );
document.write( "_________\r
\n" );
document.write( "\n" );
document.write( "Adult ticket - $21
\n" );
document.write( "Child ticket - $14 \n" );
document.write( "
Algebra.Com's Answer #235643 by checkley77(12844) ![]() You can put this solution on YOUR website! A+C=7 OR A=7-C \n" ); document.write( "21A+14C=119 \n" ); document.write( "REPLACE A WITH (7-C) IN THE SECOND EQUATION & SOLVE FOR C. \n" ); document.write( "21(7-C)+14C=119 \n" ); document.write( "147-21C+14C=119 \n" ); document.write( "-7C=119-147 \n" ); document.write( "-7C=-28 \n" ); document.write( "C=-28/-4 \n" ); document.write( "C=4 CHILDREN. \n" ); document.write( "A=7-4=3 ADULTS. \n" ); document.write( "PROOF: \n" ); document.write( "21*3+14*4=119 \n" ); document.write( "63+56=119 \n" ); document.write( "119=119 \n" ); document.write( " |