document.write( "Question 26062: You are at the buger barn. Two hamburgers and one hot dog cost $4.82. At the same price, one hamburger and two hotdogs cost $3.70. How much does a hotdog cost? \n" ); document.write( "
Algebra.Com's Answer #13997 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let x be cost of a hamburger and y be cost of hot dog \n" ); document.write( "2x+y=482 cents \n" ); document.write( "x+2y=370 cents \n" ); document.write( "Multiply the 2nd eq. by \"2\" to get 2x+47=740 \n" ); document.write( " \n" ); document.write( "Subtract this from the 1st eq. to get: \n" ); document.write( "-3y=-258 \n" ); document.write( " y=86 cents \n" ); document.write( " Substitute that into the 1st equation to get: \n" ); document.write( " 2x+86=482 \n" ); document.write( " 2x=396 \n" ); document.write( " x=198 cents \n" ); document.write( "So, hambugers cost $1.98; hot dogs cost $.86 \r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |