document.write( "Question 245725: Solving systems by substitution\r
\n" );
document.write( "\n" );
document.write( "Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each Turkey burger weighed 1\4 pound and each hamburger weighed 1\3 pound. How many of each did Vong grilled.\r
\n" );
document.write( "\n" );
document.write( "I think I need two equations:\r
\n" );
document.write( "\n" );
document.write( "t + h = 21\r
\n" );
document.write( "\n" );
document.write( "Can't figure out the rest... \n" );
document.write( "
Algebra.Com's Answer #179464 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! yes turkey burgers + hamburgers=21 \n" ); document.write( "but we also know that since the poundage was the same \n" ); document.write( "number of turkey burgers times 1/4 = number of hamburgers times 1/3 \n" ); document.write( "t/4=h/3 \n" ); document.write( "solve for t \n" ); document.write( "multiply by both sides by 4 \n" ); document.write( "t=4h/3 \n" ); document.write( "t+h=21 \n" ); document.write( "4h/3+h=21 \n" ); document.write( "multiply both sides by 3 \n" ); document.write( "4h+3h=63 \n" ); document.write( "combine \n" ); document.write( "7h=63 \n" ); document.write( "divide both sides by 7 \n" ); document.write( "h=9 \n" ); document.write( "t+h=21 \n" ); document.write( "t=21-h \n" ); document.write( "t=12 \n" ); document.write( "check\r \n" ); document.write( "\n" ); document.write( "t/4=h/3 \n" ); document.write( "12/4=9/3 \n" ); document.write( "3=3 \n" ); document.write( "ok \n" ); document.write( " |