document.write( "Question 1012761: During a football game, a concession stand sold a family 3 hamburgers and 2 hotdogs for a total of $13. It sold another family 2 hamburgers and 5 hotdogs for a total of $16. What are the prices of a hamburger and hotdog?? \n" ); document.write( "
Algebra.Com's Answer #628819 by fractalier(6550) You can put this solution on YOUR website! Call the prices of hamburger and hot dogs, x and y. Then we can write \n" ); document.write( "3x + 2y = 13 and \n" ); document.write( "2x + 5y = 16 \n" ); document.write( "Multiply the top by two and the bottom one by three and subtract...we get \n" ); document.write( "6x + 4y = 26 \n" ); document.write( "-(6x + 15y = 48) \n" ); document.write( "------------------- \n" ); document.write( "-11y = -22 \n" ); document.write( "y = 2 dollars per hot dog \n" ); document.write( "Then \n" ); document.write( "3x + 2(2) = 13 \n" ); document.write( "3x + 4 = 13 \n" ); document.write( "3x = 9 \n" ); document.write( "x = 3 dollars per burger \n" ); document.write( " |