document.write( "Question 1018032: You are throwing your teacher a surprise party. Three rolls of streamers and 15 party hats cost $30. Later, your brought 2 more rolls of streamers and 4 more party hats for $11. How much did each roll of streamers cost? How much did each party hat cost? \n" ); document.write( "
Algebra.Com's Answer #634196 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "S=streamers; H=hats \n" ); document.write( ". \n" ); document.write( "2S+4H=$11 \n" ); document.write( ". \n" ); document.write( "3S+15H=$30 . Multiply by 2/3 \n" ); document.write( "2S+10H=$20 . Subtract first equation \n" ); document.write( "2S+4H=$11 \n" ); document.write( "-------------- \n" ); document.write( "6H=$9 \n" ); document.write( "H=$1.50 \n" ); document.write( ". \n" ); document.write( "2S+4H=$11 \n" ); document.write( "2S+4($1.50)=$11 \n" ); document.write( "2S+$6=$11 \n" ); document.write( "2S=$5 \n" ); document.write( "S=$2.50 \n" ); document.write( ". \n" ); document.write( "ANSWER: Hats cost $1.50 and streamers cost $2.50. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "3S+15H=$30 \n" ); document.write( "3($2.50)+15($1.50)=$30 \n" ); document.write( "$7.50+$22.50=$30 \n" ); document.write( "$30=$30 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |