document.write( "Question 1127524: Adrian, Nathan, and Brian bought lunch from the concession stand. Adrian paid $5.50 for burgers, fries and a drink; Nathan paid $4.00 for a burger and a drink; and Brian paid $4.25 for a burger and fries.
\n" ); document.write( "a) write three equations modeling the cost of their lunches using b, f, and d to represent the cost of a burger, fries, and a drink.
\n" ); document.write( "b)solve the system of equations to determine the cost of each food item.
\n" ); document.write( "i just need help setting it up \n" ); document.write( "

Algebra.Com's Answer #743961 by MathTherapy(10551) $\"\"$ $\"About$

You can put this solution on YOUR website!
Adrian, Nathan, and Brian bought lunch from the concession stand. Adrian paid $5.50 for burgers, fries and a drink; Nathan paid $4.00 for a burger and a drink; and Brian paid $4.25 for a burger and fries.
\n" ); document.write( "a) write three equations modeling the cost of their lunches using b, f, and d to represent the cost of a burger, fries, and a drink.
\n" ); document.write( "b)solve the system of equations to determine the cost of each food item.
\n" ); document.write( "i just need help setting it up
\n" ); document.write( "

Setup is as follows! The cost of a burger, an order of fries, and a drink cost are: b, f, and d, respectively
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document.write( "We then get: b + f + d = 5.5 ------ eq (i)
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document.write( "             b     + d = 4 -------- eq (ii)
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document.write( "             b + f     = 4.25 ----- eq (iii)
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document.write( "You can easily solve for each variable, since all have 1 as their coefficient. DO not follow that person who advised you to
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document.write( "do a million things and take an awfully long time to solve a SIMPLE, SIMPLE system in 3 equations. He's one of a few who'd make a very 
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document.write( "simple problem EXTREMELY TIME-CONSUMING and COMPLEX. There is ABSOLUTELY no reason for someone to advise a person to do a problem that way. 
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document.write( "Again, DON'T FOLLOW this person unless of course you like to torment yourself!!\r
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document.write( "b + f + d = 5.5 ------ eq (i)
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document.write( "b     + d = 4 -------- eq (ii)
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document.write( "b + f     = 4.25 ----- eq (iii)
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document.write( "f, or price of an order of fries =  ------ Subtracting eq (ii) from eq (i)
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document.write( "Now, LOOK how easy that was!
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document.write( "b + 1.5 = 4.25 ------ Substituting 1.5 for f in eq (iii)
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document.write( "b, or cost of burger = 
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document.write( "2.75 + 1.50 + d = 5.5 ------- Substituting 1.5 for f, and 2.75 for b in eq (i)
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document.write( "d, or cost of a drink = 
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document.write( "I went too far. You just wanted the setup but I went all the way! What the heck! 
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document.write( "Maybe my solution will give you some insight into the easiest and most time-consuming way to do the problem. \n" );
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