Problema Solution

at a concession stand, three hot dogs and two hamburgers cost $8.25; two hot dogs and three hamburgers cost $9.25. Find the cost of one hot dog and the cost of one hamburger.

what is the cost of one hot dog?

What is the cost of one hamnurger?

Answer provided by our tutors

let


d = the host of one hot dog


h = the cost of one hamburger


three hot dogs and two hamburgers cost $8.25:


3d + 2h = 8.25


two hot dogs and three hamburgers cost $9.25:


2d + 3h = 9.25


by solving the system of equations:


3d + 2h = 8.25


2d + 3h = 9.25


we find:


d = $1.25


h = $2.25


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the cost of one hot dog is $1.25.


the cost of one hamburger is $2.25.