document.write( "Question 1031501: A restaurant manager wants to purchase 200
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document.write( "sets of dishes. One design costs $15 per set, while another costs $45 per set. If she wants to use her entire budget of $5700, how many of each design should be ordered? \n" );
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Algebra.Com's Answer #646190 by stanbon(75887) ![]() You can put this solution on YOUR website! A restaurant manager wants to purchase 200 \n" ); document.write( "sets of dishes. One design costs $15 per set, while another costs $45 per set. If she wants to use her entire budget of $5700, how many of each design should be ordered? \n" ); document.write( "------ \n" ); document.write( "Quantity Eq:: f + t = 200 sets \n" ); document.write( "Value Eq:: 15f + 45t = 5700 dollars \n" ); document.write( "----------------------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "f + t = 200 \n" ); document.write( "f + 3t = 380 \n" ); document.write( "---------------------- \n" ); document.write( "Subtract and solve for \"t\":: \n" ); document.write( "2t = 180 \n" ); document.write( "t = 90 (# of sets of $45 sets to buy) \n" ); document.write( "f = 200 - 90 = 110 (# of $15 sets to buy) \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |