document.write( "Question 249649: Solve using elimination method or multiplication principle first.\r
\n" );
document.write( "\n" );
document.write( "A basketball player once scored 36 points on 22 shots in a game. Shooting only two-pointers and foul shots(one point). How many of each type of shot did he make?\r
\n" );
document.write( "\n" );
document.write( "Thanks for any help or guidance as this problem has me stumped!! \n" );
document.write( "
Algebra.Com's Answer #181784 by checkley77(12844) ![]() You can put this solution on YOUR website! X+Y=22 OR X=22-Y NUMBER OF SHOTS TAKEN. \n" ); document.write( "2X+Y=36 POINTS SCORED. \n" ); document.write( "REPLACE X WITH (22-Y) & SOLVE FOR Y. \n" ); document.write( "2(22-Y)+Y=36 \n" ); document.write( "44-2Y+Y=36 \n" ); document.write( "-Y=36-44 \n" ); document.write( "-Y=-8 \n" ); document.write( "Y=8 FOUL SHOTS WERE MADE. \n" ); document.write( "X=22-8=14 TWO-POINTERS WERE MADE. \n" ); document.write( "PROOF: \n" ); document.write( "2*14+8=36 \n" ); document.write( "28+8=36 \n" ); document.write( "36=36 \n" ); document.write( " \n" ); document.write( " |