document.write( "Question 154428: cindy charges $6.60 for 5 cartons of fries and 2 sodas and $3.82 for 3 cartons of fries and 1 soda determine the cost of one soda and one carton fries. \n" ); document.write( "
Algebra.Com's Answer #113727 by orca(409) ![]() You can put this solution on YOUR website! Let x be the unit price of fries. \n" ); document.write( "Let y be the unit price of soda. \n" ); document.write( "As 5 cartons of fries and 2 sodas is sold for $6.60, we have \n" ); document.write( "5x + 2y = 6.6 ...........(1) \n" ); document.write( "As 3 cartons of fries and 1 sodas is sold for $3.82, we have \n" ); document.write( "3x + y = 3.82 ...........(2) \n" ); document.write( "Next solve simultaneous equations (1) and (2) for x and y. \n" ); document.write( "Multiplying equation (2) by 2, we have \n" ); document.write( "6x + 2y = 7.64 ..........(3) \n" ); document.write( "Subtracting equation (1) from (3), we have \n" ); document.write( "x = 1.04 \n" ); document.write( "From equation (2), we have \n" ); document.write( "y = 3.82 - 3x \n" ); document.write( "Substituting x = 1.04 into it, we obtain \n" ); document.write( "y = 3.82 - 3*1.04 = 0.7 \n" ); document.write( "So \n" ); document.write( "the unit price of fries is $1.04. \n" ); document.write( "the unit price of soda is $0.7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |