document.write( "Question 628541: At the local fast food restaurant, 5 cokes and 7 orders of french fries cost $7.25, while 4 cokes and 5 orders od french fries cost $5.50. Then what are the prices of a single coke and a single order of fries? \n" ); document.write( "
Algebra.Com's Answer #395724 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! At the local fast food restaurant, 5 cokes and 7 orders of french fries cost $7.25, while 4 cokes and 5 orders od french fries cost $5.50. Then what are the prices of a single coke and a single order of fries? \n" ); document.write( ". \n" ); document.write( "Let c = cost of single coke \n" ); document.write( "and f = cost of single french fry \n" ); document.write( "then our system of equations is \n" ); document.write( "5c + 7f = 7.25 \n" ); document.write( "4c + 5f = 5.50 \n" ); document.write( ". \n" ); document.write( "multiply top eq by 4 and bottom eq by -5 then add together: \n" ); document.write( " 20c + 28f = 29 \n" ); document.write( "-20c - 25f = -27.5 \n" ); document.write( "------------------- \n" ); document.write( " 3f = 1.50 \n" ); document.write( " f= .50 (cost of single order of french fry) \n" ); document.write( ". \n" ); document.write( "cost of single coke: \n" ); document.write( "plug above into: \n" ); document.write( "4c + 5f = 5.50 \n" ); document.write( "4c + 5(.50) = 5.50 \n" ); document.write( "4c + 2.50 = 5.50 \n" ); document.write( "4c = 3.00 \n" ); document.write( "c = .75\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |