Problema Solution

At a concession stand, three hotdogs and two hamburgers cost 8.25; two hot dogs and three hamburgers cost 8.00. What is the cost of one hot dog and one hamburger.

Answer provided by our tutors

let


x = the cost of one hotdog


y = the cost of one hamburger


three hotdogs and two hamburgers cost 8.25:


3x + 2y = 8.25


two hot dogs and three hamburgers cost 8.00:


2x + 3y = 8.00


by solving the system of equations:


3x + 2y = 8.25


2x + 3y = 8.00


we find:


x = $1.75


y = $1.5


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the cost of one hot dog is $1.75.


the cost of one hamburger is $1.5.