document.write( "Question 108312: Corporation Wally Mart allows each of its traveling employees
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document.write( "an amount of money per day for a hotel room and food expenses.
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document.write( "One employee travels for 4 days and 4 nights and is allotted $480 while another
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document.write( "employee travels for 3 days and 2 nights and is allotted $270.
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document.write( "a) Give the system of equations for solving this situation.
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document.write( "b) Find the amount allowed for a hotel room and daily food expenses
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Algebra.Com's Answer #79138 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One employee travels for 4 days and 4 nights and is allotted $480 \n" ); document.write( "That's 4 rooms and 12 meals \n" ); document.write( "------------------------------- \n" ); document.write( "while another employee travels for 3 days and 2 nights and is allotted $270. \n" ); document.write( "That's 2 rooms and 9 meals \n" ); document.write( "------------------------------ \n" ); document.write( "a) Give the system of equations for solving this situation. \n" ); document.write( "1st Equation: 4r+12m = 480 \n" ); document.write( "2nd Equation: 2r+9m = 270 \n" ); document.write( "------------------- \n" ); document.write( "b) Find the amount allowed for a hotel room and daily food expenses \n" ); document.write( "1st Eq: r + 3m = 120 \n" ); document.write( "r = 120-3m \n" ); document.write( "Substitute into 2nd Eq to solve for m: \n" ); document.write( "2(120-3m)+9m = 270 \n" ); document.write( "240-6m+9m = 270 \n" ); document.write( "3m = 30 \n" ); document.write( "m = 10 ($10 for each meal) \n" ); document.write( "--------- \n" ); document.write( "Substitute into r = 120-3m to solve for r: \n" ); document.write( "r = 120-3*10 \n" ); document.write( "r = $90 ($90 allowed for a room) \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |