document.write( "Question 381522: Translate the problem to a system of equations and solve for costs.
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document.write( "Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda? \n" );
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Algebra.Com's Answer #270616 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda? \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "6d + 5s = 3695 cents \n" ); document.write( "4d + 5s = 3230 cents \n" ); document.write( "----------------------- \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "2d = 465 cents \n" ); document.write( "d = 232.5 cents \n" ); document.write( "---- \n" ); document.write( "A sandwich costs $2.33 \n" ); document.write( "---- \n" ); document.write( "Substitute and solve for \"s\": \n" ); document.write( "4(232.5) + 5s = 3230 \n" ); document.write( "930 + 5s = 3230 \n" ); document.write( "5s = 2300 \n" ); document.write( "s = $4.60 (Price of a soda) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |