document.write( "Question 90980: Please help me with this question. Three burgers and four orders of fries total $16.80. Two burgers and six orders of fries total $17.20. How much does one burger cost? How much does one order of fries cost?\r
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Algebra.Com's Answer #66052 by psbhowmick(878)![]() ![]() You can put this solution on YOUR website! Let cost of each burger = $x and cost of each fry = $y. \n" ); document.write( "Then three burgers and four fries cost = $(3x + 4y). \n" ); document.write( "This value is equal to $16.80.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + 4y = 16.80 ________(1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, two burgers and six fries cost = $(2x + 6y). \n" ); document.write( "This value is equal to $17.20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 6y = 17.20 ________(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiplying both sides of equation (1) by 2 \n" ); document.write( "6x + 8y = 33.60 ________(3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiplying both sides of equation (2) by 3 \n" ); document.write( "6x + 18y = 51.60 ________(4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtracting both sides of equation (3) from the respective sides of equation (4) \n" ); document.write( "18y - 8y = 51.60 - 33.60 \n" ); document.write( "10y = 18 \n" ); document.write( "y = 18/10 = 1.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting this value of 'y' in equation (1) we have \n" ); document.write( "3x + 4*1.80 = 16.80 \n" ); document.write( "3x + 7.20 = 16.80 \n" ); document.write( "3x = 16.80 - 7.20 = 9.60 \n" ); document.write( "x = 9.60/3 = 3.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, each burger costs $3.20 and each fry costs $1.80. \n" ); document.write( " |