Problema Solution

at a concession stand, five hot dogs and two hamburgers cost $12.00; two hot dogs and five hamburgers cost $14.25. Find the cost of one hot dog and one hamburger.

Answer provided by our tutors

let


x = the cost of one hot dog


y = the cost of one hamburger


five hot dogs and two hamburgers cost $12.00:


5x + 2y = 12


two hot dogs and five hamburgers cost $14.25:


2x + 5y = 14.25


by solving the system of equations:


5x + 2y = 12


2x + 5y = 14.25


we find:


x = $1.5


y = $2.25


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one hot dog is $1.5 and one hamburger is $2.25.