document.write( "Question 1034736: If 2 sodas and 4 hamburgers are $12.00 and 4 sodas and 2 hamburgers are $9.00 how much is a single hamburger? \n" ); document.write( "

Algebra.Com's Answer #649447 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If 2 sodas and 4 hamburgers are $12.00 and 4 sodas and 2 hamburgers are $9.00 how much is a single hamburger?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "2s + 4h = 12,    (1)\r\n" );
document.write( "4s + 2h =  9.    (2)\r\n" );
document.write( "\r\n" );
document.write( "Multiply (1) by 2. You will get \r\n" );
document.write( "\r\n" );
document.write( "4s + 8h = 24,    (1')\r\n" );
document.write( "4s + 2h =  9.    (2')\r\n" );
document.write( "\r\n" );
document.write( "Distract (2') from (1'). You will get\r\n" );
document.write( "\r\n" );
document.write( "8h - 2h = 24 - 9,   or\r\n" );
document.write( "\r\n" );
document.write( "6h = 15  --->  h =  =  = 2.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus one hamburger price is $2.50.\r\n" );
document.write( "\r\n" );
document.write( "Then from (1)  s =  = 1.\r\n" );
document.write( "\r\n" );
document.write( "Answer. One hamburger price is $2.50 and 1 soda costs $1.00.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is even more elegant way to solve the problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Simply add all hamburgers and all sodas. 6 hamburgers and 6 sodas. $12 + $9 = $21.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence, 1 hamburger + 1 soda = $\"21%2F6\"$ = $3.50.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Having this, everybody can solve to the end in this way, actually, without equations and using the mental math only.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );