Problema Solution

The cost of a burger and soda is $8.00. The cost of 6

burgers and 2 sodas and one bag of chips is $34. If the cost

of a burger and one bag of chips is $18.50, how much does

one burger cost?

Answer provided by our tutors

let


b = the cost of one burger

s = the cost of one sods

c = the cost of one bag of chips


the cost of a burger and soda is $8.00


b + s = 8


the cost of 6 burgers and 2 sodas and one bag of chips is $34


6b + 2s + c = 34


the cost of a burger and one bag of chips is $18.50


b + c = 18.50


by solving the system of equations


b + s = 8

6b + 2s + c = 34

b + c = 18.50


we get a negative value for the burger that is


b = - 0.167


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the negative cost of the burger means that we don't have to pay for it and additionaly we receive some money back, that is $0.167.


or perhaps there is some mistake with the numbers in text of the problem.